Forces and equilibrium — practice question

A particle $P$ with weight $1.4\text{ N}$ is connected to one end of a light inextensible string $S_1$ of length $1.5\text{ m}$ and also to one end of another light inextensible string $S_2$ of length $1.3\text{ m}$. The opposite end of $S_1$ is fixed to a wall at a point $0.9\text{ m}$ vertically above a point $O$ on the wall. The opposite end of $S_2$ is fixed to the wall at a point $0.5\text{ m}$ vertically below $O$. The particle is maintained in equilibrium at the same horizontal level as $O$ by a horizontal force of magnitude $2.24\text{ N}$ acting away from the wall and perpendicular to it (see diagram).