$\Sigma F_H = 0$
$F \cos 60^\circ + 200 \cos 45^\circ = 300 + P \cos 30^\circ$
$F = 317.16 + 1.7320P$
$\Sigma F_V = 0$
$F \sin 60^\circ = 200 \sin 45^\circ + P \sin 30^\circ$
$(317.16 + 1.7320P) \sin 60^\circ = 200 \sin 45^\circ + P \sin 30^\circ$
$274.67 + 1.5P = 141.42 + 0.5P$
$P = -133.25 \, \text{ N}$ answer
$F = 317.16 + 1.7320(-133.25)$
$F = 86.37 \, \text{ N}$ answer