Finding the Fourth Proportional to 9,839.75, 13,578.87 and 5,363.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.75 : 13,578.87 = 5,363.43 : x
2. Step 2: Convert to fraction form
   9,839.75/13,578.87 = 5,363.43/x
3. Step 3: Cross multiply
   9,839.75x = 13,578.87 × 5,363.43
4. Step 4: Simplify right side
   9,839.75x = 72,829,318.72
5. Step 5: Solve for x
   x = 72,829,318.72/9,839.75
6. Step 6: Final answer
   x = 7,401.55