Finding the Fourth Proportional to 9,762.90, 14,654.07 and 5,382.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,762.90 : 14,654.07 = 5,382.42 : x
2. Step 2: Convert to fraction form
   9,762.90/14,654.07 = 5,382.42/x
3. Step 3: Cross multiply
   9,762.90x = 14,654.07 × 5,382.42
4. Step 4: Simplify right side
   9,762.90x = 78,874,359.45
5. Step 5: Solve for x
   x = 78,874,359.45/9,762.90
6. Step 6: Final answer
   x = 8,078.99