Finding the Fourth Proportional to 9,268.46, 12,787.82 and 5,682.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,268.46 : 12,787.82 = 5,682.24 : x
2. Step 2: Convert to fraction form
   9,268.46/12,787.82 = 5,682.24/x
3. Step 3: Cross multiply
   9,268.46x = 12,787.82 × 5,682.24
4. Step 4: Simplify right side
   9,268.46x = 72,663,433.91
5. Step 5: Solve for x
   x = 72,663,433.91/9,268.46
6. Step 6: Final answer
   x = 7,839.86