How to Rerender one panel based on the value of field of one rendered panel

User wants some fields to be shown on the basis of value of inputfield on VF page.i have created three output panel.now the problem is second rendering is not happening properly.

Suppose first rendering is done on the basis of a field of 1st panel,now what i need is third panel should be displyed on the basis of one of the fields of second panel but that is not working properly.

sometime its working fine but sometime its not and behaviour is changing with chnage of browser also.

What can help me out...!!!!