I'm assuming you have a program that wants to manipulate the server "back end" for a web page by making the server think that someone pushed a button that POSTs, and sending the data that the web page would include with its POST.
The first tool you need is Microsoft Network Monitor 3.3, or another network packet tracing tool. Use this to look at the POST from the real web page. NetMon (at least) decomposes the packet into the HTTP pieces and headers, so you can easily see what's going on.
Now you will know what data the real POST is sending, and the URL to which it is sending the data (with any possible "query string" - which is unusual for a POST).
Next you need to write C# to create the same sort of POST to the same URL. It seems that you already know about HttpWebRequest/HttpWebResponse so I won't explain them in detail. You may have noticed in your NetMon trace that the Content-Type header was application/x-www-form-urlencoded. This is most often data from an HTML form which is URL-Encoded (like the name), so you need to URL-Encode your data before POSTing it, and you need to know the size of the encoded data for the Content-Length. HttpUtility.UrlEncode() is one method to use for this encoding.
Once you think you have it, try it and use NetMon to inspect your POST request and the response from the server. Keep going until you have duplicated what the mystery web page is doing.