algorithm to find the correct set of numbers

Programmer Question

i have about 200 numbers:

 19.16 
 98.48 
 20.65 
 122.08 
 26.16 
 125.83 
 473.33 
 125.92 
 3,981.21 
 16.81 
 100.00 
 43.58 
 54.19 
 19.83 
 3,850.97 
 20.83 
 20.83 
 86.81 
 37.71 
 36.33 
 6,619.42 
 264.53 
...
...

i know that in this set of numbers, there is a combination of numbers that will add up to a certain number let's say it is 2341.42

how do i find out which combination of numbers will add up to that?

i am helping someone in accounting track down the correct numbers

Find the answer here