Finding the Fourth Proportional to 12,706.66, 17,534.42 and 7,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,706.66 : 17,534.42 = 7,463.50 : x
2. Step 2: Convert to fraction form
   12,706.66/17,534.42 = 7,463.50/x
3. Step 3: Cross multiply
   12,706.66x = 17,534.42 × 7,463.50
4. Step 4: Simplify right side
   12,706.66x = 130,868,143.67
5. Step 5: Solve for x
   x = 130,868,143.67/12,706.66
6. Step 6: Final answer
   x = 10,299.18