Finding the Fourth Proportional to 5,470.72, 7,549.92 and 4,142.32

Step by Step Solution

1. Step 1: Write the proportion equation
   5,470.72 : 7,549.92 = 4,142.32 : x
2. Step 2: Convert to fraction form
   5,470.72/7,549.92 = 4,142.32/x
3. Step 3: Cross multiply
   5,470.72x = 7,549.92 × 4,142.32
4. Step 4: Simplify right side
   5,470.72x = 31,274,184.61
5. Step 5: Solve for x
   x = 31,274,184.61/5,470.72
6. Step 6: Final answer
   x = 5,716.65