Finding the Fourth Proportional to 9,542.30, 13,165.98 and 5,767.70

Step by Step Solution

1. Step 1: Write the proportion equation
   9,542.30 : 13,165.98 = 5,767.70 : x
2. Step 2: Convert to fraction form
   9,542.30/13,165.98 = 5,767.70/x
3. Step 3: Cross multiply
   9,542.30x = 13,165.98 × 5,767.70
4. Step 4: Simplify right side
   9,542.30x = 75,937,422.85
5. Step 5: Solve for x
   x = 75,937,422.85/9,542.30
6. Step 6: Final answer
   x = 7,957.98