Finding the Fourth Proportional to 9,128.77, 12,597.42 and 5,149.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,128.77 : 12,597.42 = 5,149.83 : x
2. Step 2: Convert to fraction form
   9,128.77/12,597.42 = 5,149.83/x
3. Step 3: Cross multiply
   9,128.77x = 12,597.42 × 5,149.83
4. Step 4: Simplify right side
   9,128.77x = 64,874,571.44
5. Step 5: Solve for x
   x = 64,874,571.44/9,128.77
6. Step 6: Final answer
   x = 7,106.61