You seem to be pushing the wind, rather than the stick.
4 N is at the free end of the 1 m stick. This is "1 m".
6 N is somewhere along the stick. Call it "x m".
(4 N)*(1 m) = (6 N)*(sin(68.3º))*(x m)
Does it matter which way we measure the 68.3º? Is that 68.3º from the ray containing the fixed end or 68.3º from the ray containing the free end?