There are many fine "platforms" such as anything that has a web browser. But the APPLICATION you are asking for sounds custom. You would employ a programmer and if they are good they would draw out what they do to get the answers or report they are currently creating and then the programmer would create the custom application.
Not all applications have been written but once in a while you encounter a client that thinks it has. Maybe it's true but as presented it looks custom.
I am looking for a collaboration/group management software or web-based solutions for our head of marketing. She was wanting to integrate her social media analytics, website clicks, and events calendar together (like 3 different departments of people) to track the impact of certain events, posts etc. Do you happen to know of any platforms that might have that capability?