Finding the Fourth Proportional to 9,128.64, 12,598.56 and 5,149.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,128.64 : 12,598.56 = 5,149.92 : x
2. Step 2: Convert to fraction form
   9,128.64/12,598.56 = 5,149.92/x
3. Step 3: Cross multiply
   9,128.64x = 12,598.56 × 5,149.92
4. Step 4: Simplify right side
   9,128.64x = 64,881,576.12
5. Step 5: Solve for x
   x = 64,881,576.12/9,128.64
6. Step 6: Final answer
   x = 7,107.47