Finding the Fourth Proportional to 10,391.82, 15,584.68 and 5,647.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,391.82 : 15,584.68 = 5,647.24 : x
2. Step 2: Convert to fraction form
   10,391.82/15,584.68 = 5,647.24/x
3. Step 3: Cross multiply
   10,391.82x = 15,584.68 × 5,647.24
4. Step 4: Simplify right side
   10,391.82x = 88,010,428.28
5. Step 5: Solve for x
   x = 88,010,428.28/10,391.82
6. Step 6: Final answer
   x = 8,469.20