Finding the Fourth Proportional to 9,839.50, 13,578.11 and 5,363.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.50 : 13,578.11 = 5,363.16 : x
2. Step 2: Convert to fraction form
   9,839.50/13,578.11 = 5,363.16/x
3. Step 3: Cross multiply
   9,839.50x = 13,578.11 × 5,363.16
4. Step 4: Simplify right side
   9,839.50x = 72,821,521.94
5. Step 5: Solve for x
   x = 72,821,521.94/9,839.50
6. Step 6: Final answer
   x = 7,400.94