Finding the Fourth Proportional to 9,120.38, 12,585.37 and 5,142.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,120.38 : 12,585.37 = 5,142.47 : x
2. Step 2: Convert to fraction form
   9,120.38/12,585.37 = 5,142.47/x
3. Step 3: Cross multiply
   9,120.38x = 12,585.37 × 5,142.47
4. Step 4: Simplify right side
   9,120.38x = 64,719,887.66
5. Step 5: Solve for x
   x = 64,719,887.66/9,120.38
6. Step 6: Final answer
   x = 7,096.18