Finding the Fourth Proportional to 9,839.70, 13,578.57 and 5,363.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.70 : 13,578.57 = 5,363.28 : x
2. Step 2: Convert to fraction form
   9,839.70/13,578.57 = 5,363.28/x
3. Step 3: Cross multiply
   9,839.70x = 13,578.57 × 5,363.28
4. Step 4: Simplify right side
   9,839.70x = 72,825,672.91
5. Step 5: Solve for x
   x = 72,825,672.91/9,839.70
6. Step 6: Final answer
   x = 7,401.21