Finding the Fourth Proportional to 9,129.29, 12,597.57 and 5,149.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,129.29 : 12,597.57 = 5,149.62 : x
2. Step 2: Convert to fraction form
   9,129.29/12,597.57 = 5,149.62/x
3. Step 3: Cross multiply
   9,129.29x = 12,597.57 × 5,149.62
4. Step 4: Simplify right side
   9,129.29x = 64,872,698.42
5. Step 5: Solve for x
   x = 64,872,698.42/9,129.29
6. Step 6: Final answer
   x = 7,106.00