Finding the Fourth Proportional to 9,831.58, 13,567.90 and 5,582.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,831.58 : 13,567.90 = 5,582.82 : x
2. Step 2: Convert to fraction form
   9,831.58/13,567.90 = 5,582.82/x
3. Step 3: Cross multiply
   9,831.58x = 13,567.90 × 5,582.82
4. Step 4: Simplify right side
   9,831.58x = 75,747,143.48
5. Step 5: Solve for x
   x = 75,747,143.48/9,831.58
6. Step 6: Final answer
   x = 7,704.47