Finding the Fourth Proportional to 12,871.10, 17,762.24 and 7,566

Step by Step Solution

1. Step 1: Write the proportion equation
   12,871.10 : 17,762.24 = 7,566 : x
2. Step 2: Convert to fraction form
   12,871.10/17,762.24 = 7,566/x
3. Step 3: Cross multiply
   12,871.10x = 17,762.24 × 7,566
4. Step 4: Simplify right side
   12,871.10x = 134,389,126.76
5. Step 5: Solve for x
   x = 134,389,126.76/12,871.10
6. Step 6: Final answer
   x = 10,441.16