Finding the Fourth Proportional to 7,553.80, 10,429.32 and 5,782.24

Step by Step Solution

1. Step 1: Write the proportion equation
   7,553.80 : 10,429.32 = 5,782.24 : x
2. Step 2: Convert to fraction form
   7,553.80/10,429.32 = 5,782.24/x
3. Step 3: Cross multiply
   7,553.80x = 10,429.32 × 5,782.24
4. Step 4: Simplify right side
   7,553.80x = 60,304,831.28
5. Step 5: Solve for x
   x = 60,304,831.28/7,553.80
6. Step 6: Final answer
   x = 7,983.38