Finding the Fourth Proportional to 9,839.87, 13,578.67 and 5,363.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.87 : 13,578.67 = 5,363.53 : x
2. Step 2: Convert to fraction form
   9,839.87/13,578.67 = 5,363.53/x
3. Step 3: Cross multiply
   9,839.87x = 13,578.67 × 5,363.53
4. Step 4: Simplify right side
   9,839.87x = 72,829,576.66
5. Step 5: Solve for x
   x = 72,829,576.66/9,839.87
6. Step 6: Final answer
   x = 7,401.48