Finding the Fourth Proportional to 9,156.62, 12,635.92 and 5,177.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,156.62 : 12,635.92 = 5,177.50 : x
2. Step 2: Convert to fraction form
   9,156.62/12,635.92 = 5,177.50/x
3. Step 3: Cross multiply
   9,156.62x = 12,635.92 × 5,177.50
4. Step 4: Simplify right side
   9,156.62x = 65,422,475.80
5. Step 5: Solve for x
   x = 65,422,475.80/9,156.62
6. Step 6: Final answer
   x = 7,144.83