In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.
[34.717, 228.811, -79.614, -95.512, 86.997, 42.123, 152.993, -0.089, 236.733, 96.217]