Finding the Fourth Proportional to 12,966.08, 17,892.50 and 7,658.96

Step by Step Solution

1. Step 1: Write the proportion equation
   12,966.08 : 17,892.50 = 7,658.96 : x
2. Step 2: Convert to fraction form
   12,966.08/17,892.50 = 7,658.96/x
3. Step 3: Cross multiply
   12,966.08x = 17,892.50 × 7,658.96
4. Step 4: Simplify right side
   12,966.08x = 137,037,814.04
5. Step 5: Solve for x
   x = 137,037,814.04/12,966.08
6. Step 6: Final answer
   x = 10,568.95