Finding the Fourth Proportional to 9,128.74, 12,597.60 and 5,149.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,128.74 : 12,597.60 = 5,149.89 : x
2. Step 2: Convert to fraction form
   9,128.74/12,597.60 = 5,149.89/x
3. Step 3: Cross multiply
   9,128.74x = 12,597.60 × 5,149.89
4. Step 4: Simplify right side
   9,128.74x = 64,876,254.26
5. Step 5: Solve for x
   x = 64,876,254.26/9,128.74
6. Step 6: Final answer
   x = 7,106.81