Finding the Fourth Proportional to 9,160.80, 12,642.15 and 5,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,160.80 : 12,642.15 = 5,182.50 : x
2. Step 2: Convert to fraction form
   9,160.80/12,642.15 = 5,182.50/x
3. Step 3: Cross multiply
   9,160.80x = 12,642.15 × 5,182.50
4. Step 4: Simplify right side
   9,160.80x = 65,517,942.38
5. Step 5: Solve for x
   x = 65,517,942.38/9,160.80
6. Step 6: Final answer
   x = 7,151.99