Lighttpd Proxy to Service on Another Port

I have an issue, which I hope is common enough to be resolved quickly. Specifically, I have a server on which I wish to host several web-applications at the same time for my own personal use. I would like it to be well-organized however.

My current approach is to install/setup each of the web apps with their own instance of a lighttpd server running over HTTP on a non-standard port (8080, 8081, 8082, and etc). I then use the system's lighttpd server as a proxy to each of these web apps. So for example myurl.com/tt-rss/ proxies to 127.0.0.1:8080/tt-rss/ and so on. The "main" lighttpd instance will also be the one responsible for running HTTPS (access to the ports used by the web-apps is restricted to localhost only) so I figure this is a convenient way to handle HTTPS all in one place as opposed to having to configure it for every single web-application on its own.

The problem I am having is as follows: I am trying to run the Shout webapp for IRC, which runs on Node.js and by default simply runs on port 9000. The problem is that the url for this is myurl.com:9000 and not myurl.com:9000/shout/ which means that if I used the proxying approach described above, that would mean that I can only proxy myurl.com => 127.0.0.1:9000, but this is not conducive to running other similar applications on my server. I would like to be able to have this proxying setup: myurl.com/shout/ => 127.0.0.1:9000/ I presume that I need to use mod_proxy and mod_rewrite in concert for this, but I am unsure as to how to do this. I was hoping someone could help out.

Thank you in advance.

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