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.
[-21.905, 114.307, 187.195, -47.821, -46.678, 45.325, -92.595, 213.752, 236.122, 163.62]