Finding the Fourth Proportional to 9,142.40, 13,710.72 and 5,248.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.40 : 13,710.72 = 5,248.64 : x
2. Step 2: Convert to fraction form
   9,142.40/13,710.72 = 5,248.64/x
3. Step 3: Cross multiply
   9,142.40x = 13,710.72 × 5,248.64
4. Step 4: Simplify right side
   9,142.40x = 71,962,633.42
5. Step 5: Solve for x
   x = 71,962,633.42/9,142.40
6. Step 6: Final answer
   x = 7,871.31