Beginner: Inductors in Series and Parallel HELP
As L4 and L23 are in parallel their voltage is equal: thus VL234 = VL4. 
And similiarly VL234 = VL23. 

Now you can calculate IL23 with XL23 and VL23. As they are in series the current through L2 and L3 is equal, so: IL23 = IL2. 

Finally we need the voltages for VL2 and VL3: These can be easily computed using a voltage divider (https://en.wikipedia.org/wiki/Voltage_divider): VL2 = XL2*VL23/XL23. To compute VL3 you can now either use the same formula only with XL3 instead of XL2, or just subtract VL2 from VL23 (as voltage gets summed in series)