Finding the Fourth Proportional to 11,456.84, 15,781.74 and 9,567.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,456.84 : 15,781.74 = 9,567.82 : x
2. Step 2: Convert to fraction form
   11,456.84/15,781.74 = 9,567.82/x
3. Step 3: Cross multiply
   11,456.84x = 15,781.74 × 9,567.82
4. Step 4: Simplify right side
   11,456.84x = 150,996,831.45
5. Step 5: Solve for x
   x = 150,996,831.45/11,456.84
6. Step 6: Final answer
   x = 13,179.62