How can I use C# to sort values numerically?

I have a string that contains numbers separated by periods. When I sort it appears like this since it is a string: (ascii char order)

3.9.5.2.1.1
3.9.5.2.1.10
3.9.5.2.1.11
3.9.5.2.1.12
3.9.5.2.1.2
3.9.5.2.1.3
3.9.5.2.1.4

etc.

I want it to sort like this: (in numeric order)

3.9.5.2.1.1
3.9.5.2.1.2
3.9.5.2.1.3
...
3.9.5.2.1.9
3.9.5.2.1.10
3.9.5.2.1.11
3.9.5.2.1.12

I know that I can:

1. Use the Split function to get the individual numbers
2. Put the values into an object
3. Sort the object

I prefer to avoid all of that work if it is duplicating existing functionality. Is a method in the .net framework that does this already?