Finding the Fourth Proportional to 9,128.59, 12,597.16 and 5,149.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,128.59 : 12,597.16 = 5,149.64 : x
2. Step 2: Convert to fraction form
   9,128.59/12,597.16 = 5,149.64/x
3. Step 3: Cross multiply
   9,128.59x = 12,597.16 × 5,149.64
4. Step 4: Simplify right side
   9,128.59x = 64,870,813.27
5. Step 5: Solve for x
   x = 64,870,813.27/9,128.59
6. Step 6: Final answer
   x = 7,106.34