Finding the Fourth Proportional to 9,542.24, 13,165.23 and 5,766.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,542.24 : 13,165.23 = 5,766.53 : x
2. Step 2: Convert to fraction form
   9,542.24/13,165.23 = 5,766.53/x
3. Step 3: Cross multiply
   9,542.24x = 13,165.23 × 5,766.53
4. Step 4: Simplify right side
   9,542.24x = 75,917,649.55
5. Step 5: Solve for x
   x = 75,917,649.55/9,542.24
6. Step 6: Final answer
   x = 7,955.96