Finding the Fourth Proportional to 9,831.24, 13,565.79 and 5,581.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,831.24 : 13,565.79 = 5,581.58 : x
2. Step 2: Convert to fraction form
   9,831.24/13,565.79 = 5,581.58/x
3. Step 3: Cross multiply
   9,831.24x = 13,565.79 × 5,581.58
4. Step 4: Simplify right side
   9,831.24x = 75,718,474.32
5. Step 5: Solve for x
   x = 75,718,474.32/9,831.24
6. Step 6: Final answer
   x = 7,701.82