Finding the Fourth Proportional to 9,831.88, 13,567.50 and 5,582.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,831.88 : 13,567.50 = 5,582.88 : x
2. Step 2: Convert to fraction form
   9,831.88/13,567.50 = 5,582.88/x
3. Step 3: Cross multiply
   9,831.88x = 13,567.50 × 5,582.88
4. Step 4: Simplify right side
   9,831.88x = 75,745,724.40
5. Step 5: Solve for x
   x = 75,745,724.40/9,831.88
6. Step 6: Final answer
   x = 7,704.09