Dynamic array sorting and storing program
import java.util.*;



It's often preferred to do separate imports rather than import an entire group.  Some disagree with this.  You can see both viewpoints argued at https://stackoverflow.com/questions/147454/why-is-using-a-wild-card-with-a-java-import-statement-bad


    ArrayList&lt;Integer&gt; array = new ArrayList&lt;Integer&gt;();



It's generally preferred to use the interface on the left side, as so 

    List&lt;Integer&gt; numbers = new ArrayList&lt;Integer&gt;();


It won't make much difference in a program like this, but in a program where you pass your field as a method parameter, it can make it much easier to change implementations in the future.  It also encourages you to think about whether or not to use implementation specific functionality.  

I prefer to use a more specific name than array.  Of course, in this case, you don't have much of one as the field is pretty generic.  I might also go with data.  Some would prefer array to these names.  


    public Ascending()
    {
        array.add(2);
        array.add(4);
        array.add(6);
        array.add(8);
    }



Is that test code in your constructor?  That's not the place for it.  Consider 

    public Ascending(List&lt;Integer&gt; initial)
    {
        numbers.addAll(initial);
    }


or better yet, something like 

    public Ascending(List&lt;Integer&gt; initialData)
    {
        for (Integer number : initialData)
        {
            numbers.add(number);
        }
    }


As that makes sure that the order is correct (assuming add is implemented correctly).  

Then you can change the values in the calling code rather than editing the class itself.  I.e. change 


        Ascending obj = new Ascending();



to something like 

        Ascending ascending = new Ascending(Arrays.asList(2, 4, 6, 8));


Alternately, you could define a new method add and call it in main.  This would also allow you to pull some code out of your ascendingOrder method.  


    public void ascendingOrder()



Usually methods have verb names.  Since this takes input, I might call it something like addFromInput.  

Also consider breaking this into three parts:  a for loop in main; an input process method; and an add method.  


        for(int loop=0;loop&lt;=10;loop++)
        {
            Scanner sc = new Scanner(System.in);



You don't need to make a new Scanner for every iteration.  Do it once prior to starting the loop:  

        Scanner sc = new Scanner(System.in);
        for (int loop = 0; loop &lt;= 10; loop++)
        {


I also added some whitespace in the for loop declaration.  It makes it easier for me to read (the computer won't care).  


            System.out.println("The array is 2,4,6,8 ");



Consider writing a toString method so that you can just say 

            System.out.println("The array is " + this);


Then it will output the current array on every iteration rather than outputting the original array.  This also allows you to change the initial values in only one place.  

Alternately, you can write a print method that does the same thing.  The toString is more flexible though.  


            int i,size = array.size(),last=size-1;

            for(i=0;i&lt;size;i++)
            {
                if(input&lt;array.get(i))
                {
                    array.add(i,input);
                    System.out.println("\nSorted array -:");
                    for(int y:array)
                    {
                        System.out.println(y);

                    }
                    break;
                }
            }

            if(input&gt;array.get(last))
                {
                    array.add(size,input);
                    System.out.println("\nSorted array -:");

                    for(int q:array)
                    {
                        System.out.println(q);
                    }
                }



The indent looks wrong at the end there.  However, this whole block of code can be replaced with 

            add(input);
            System.out.println("\nSorted array -: " + this);


if you define add and toString as previously discussed.  

The add method can be defined as 

    public void add(Integer number)
    {
        int i = 0;
        int size = numbers.size();

        while (i &lt; size &amp;&amp; number &lt; numbers.get(i))
        {
            i++;
        }

        numbers.add(i, number);
    }


or

    public void add(Integer new)
    {
        int i = 0;

        for (Integer number : numbers)
        {
            if (new &lt; number) {
                numbers.add(i, new);
                return;
            }

            i++;
        }

        numbers.add(new);
    }


among other implementations.  

Note that I don't do your last check.  It's unnecessary in both versions.  

In the first version, i always equals the correct place in the list when it exits the loop.  

In the second version, it never reaches the code outside the loop unless it has already checked every previous location.  Note that when used with just one argument, add appends the element to the list.  This has the same effect as numbers.add(size, new); but is shorter to write.  

Moving the printing of the array out of the add process simplifies the logic as well and saves duplicating code.