Finding the Fourth Proportional to 9,414.52, 12,991.60 and 5,165.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.52 : 12,991.60 = 5,165.48 : x
2. Step 2: Convert to fraction form
   9,414.52/12,991.60 = 5,165.48/x
3. Step 3: Cross multiply
   9,414.52x = 12,991.60 × 5,165.48
4. Step 4: Simplify right side
   9,414.52x = 67,107,859.85
5. Step 5: Solve for x
   x = 67,107,859.85/9,414.52
6. Step 6: Final answer
   x = 7,128.13