Finding the Fourth Proportional to 2,706.40, 3,735.18 and 1,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.40 : 3,735.18 = 1,527.50 : x
2. Step 2: Convert to fraction form
   2,706.40/3,735.18 = 1,527.50/x
3. Step 3: Cross multiply
   2,706.40x = 3,735.18 × 1,527.50
4. Step 4: Simplify right side
   2,706.40x = 5,705,487.45
5. Step 5: Solve for x
   x = 5,705,487.45/2,706.40
6. Step 6: Final answer
   x = 2,108.15