Steps of construction:
1. Draw a line segment AB = 5 cm.
2. Draw ∠BAZ = 60°.
3. With centre A and radius 7 cm, draw an arc cutting the line AZ at C.
4. Draw a ray AX, making an acute ∠BAX.
5. Divide AX into four equal parts, namely AA1 = A1A2 = A2A3 = A3A4.
6. Join A4B.
7. Draw A3P || A4B meeting AB at P.
8. Hence, we obtain, P is the point on AB such that AP = ¾ AB.
9. Next, draw a ray AY, such that it makes an acute ∠CAY.
10. Divide AY into four parts, namely AB1 = B1B2 = B2B3 = B3B4.
11. Join B4C.
12. Draw B1Q || B4C meeting AC at Q. We get, Q is the point on AC such that AQ = ¼ AC.
13. Join PQ and measure it.
14. PQ = 3.25 cm.