Finding the Fourth Proportional to 9,839.89, 13,578.66 and 5,363.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.89 : 13,578.66 = 5,363.55 : x
2. Step 2: Convert to fraction form
   9,839.89/13,578.66 = 5,363.55/x
3. Step 3: Cross multiply
   9,839.89x = 13,578.66 × 5,363.55
4. Step 4: Simplify right side
   9,839.89x = 72,829,821.84
5. Step 5: Solve for x
   x = 72,829,821.84/9,839.89
6. Step 6: Final answer
   x = 7,401.49