Calculating Solar Requirements for a Refrigerator
It looks like you may be confusing energy with power, resulting in some comparisons that don't make sense. 

A refrigerator has a (hopefully) low duty cycle, meaning that it's actively cooling down only a small part of the time. Based on the Energy Guide numbers, that means that it's using about 1.12 kWh each day. As you calculated, that is an average of 46 Watts. However, this is an average over a long period of time (a year!), with many on/off cycles. This "average" is useful for figuring out how much solar energy you need to generate (and store) in a day to break even.

Depending on the size of the refrigerator, efficiency, etc... the refrigerator may draw hundreds or thousands of watts when it's running, and close to zero when it is "resting". All appliances should say the maximum current they draw from the outlet - this is the instantaneous power. You would use this value to figure out how large of an AC inverter you need.