What do you see?

Sounds like a rights issue on your server. Does the webserver have (at least) read-rights on the files you uploaded?

Then at least your index.php should load when you request /fuelphp-1.4/public/index.php. As long as that is not happening you have a basic webserver issue.

If that loads, you'll have to figure out how to rewrite this path, as it's a non-standard installation.

The idea behind the current structure is that the public folder is going to be your docroot. It is not required that this folder is called "public", we had to give it a name.

In your case, this folder is called "public_html". So do not install everything inside this directory, but one level up. Then copy everything from "./public" to "./public_html", and delete the old public folder. This will ensure that only your index.php and your assets are publicly accessible, but none of the framework or application files can be requested via the browser.

So you end up with:
  /fuel
  /fuel/app
  /public_html
  /oil

You should have other folders in the fuel directory as well. What exactly did you install?

Ok.

So the message is that you have to unzip one directory up, and move everything from public to public_html.

My app would be in public_html

I did what you said I still hit the same problem

Forbidden

You don't have permission to access /public
on this server.

Additionally, a 404 Not Found
error was encountered while trying to use an ErrorDocument to handle the request.

I moved all the files in the zip to /home/domain < the root, I moved the public folder and oil to public_html, so to access I used domain.com/public and got the error above

What error?

If the files are really there (the paths you see in the error message), then it can't be something else then a rights issue.

If doesn't have to be a file rights issue, it could also be that your (shared?) hoster has implemented some weird pseudo security scheme that doesn't allow PHP files outside the public_html folder. A lot of (cheap) hosters have they mistaken idea that it will improve their security...