Finding the Fourth Proportional to 9,114.32, 12,577.46 and 5,135.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.32 : 12,577.46 = 5,135.20 : x
2. Step 2: Convert to fraction form
   9,114.32/12,577.46 = 5,135.20/x
3. Step 3: Cross multiply
   9,114.32x = 12,577.46 × 5,135.20
4. Step 4: Simplify right side
   9,114.32x = 64,587,772.59
5. Step 5: Solve for x
   x = 64,587,772.59/9,114.32
6. Step 6: Final answer
   x = 7,086.41