How do I proxy back or connect to Tomcat using Apache or IIS?

For Apache:

Our recommendation is to use mod_proxy or mod_jk. The following links provide some additional information on these modules:

Introduction to mod_jk and mod_proxy
Comparing mod_proxy and mod_jk

For IIS:

Our recommendation is to use the Application Request Routing (ARR) module. The following link is an external article on configuring your IIS server with Tomcat:

How to configure IIS 7 and Tomcat with ARR