I am trying to solve the problem below without using moments. To find the resultant force is simply a  matter of adding the force components together, but I cannot find any method of finding a location of the resultant without using moments. Is there any other way?

[![enter image description here][1]][1]

The problems is from Hartog's *Mechanics*.

Edit: This page explains how to solve it using moments: http://www.leancrew.com/mechanics/problem006.html

  [1]: https://i.sstatic.net/z8PKg.jpg