If the goal is to show that X is a synergist of Y then develop an assay with Y at the LD50/LC50 level and then vary X as you would in a typical insecticide trial.
If the goal is to model how the synergist changes the efficacy of the insecticide at a range of levels .... then you have a more difficult problem. In a nightmare scenario your only option would be some cool multivariate nonlinear regression analysis. In this case you will need to find a very good statistician to help you. If you really want trouble then model the interaction through both dose and time. This is doable if you keep with a time-dose-mortality analysis. If you include sublethal effects then life will be more complicated.
Topical application of known concentration of insecticide and insecticide+PBO has to done (1 micro liter) to assess mortality at known period (24h or 48 etc). Mortality has to be corrected in both case. Enhanced mortality or change in LC (if taken more conc) will give synergistic action.