Is there a program for tracking IEEE reference numbers and adjusting their order?

Writing a paper for class, in IEEE format. In-text citations use [x] where x is the number of the reference. Professor is strict about references being numbered based on order of appearance (first reference is [1], second reference is [2], etc). This makes it really hard to input newly found references in previously written sections, since then I have to go through and change all the previous ones to [x+1]. Is there a program or feature that helps with this?

Edit: Hey everyone thanks for the recommendations! I really do appreciate it.