Finding the Fourth Proportional to 9,839.56, 13,578.58 and 5,363.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.56 : 13,578.58 = 5,363.40 : x
2. Step 2: Convert to fraction form
   9,839.56/13,578.58 = 5,363.40/x
3. Step 3: Cross multiply
   9,839.56x = 13,578.58 × 5,363.40
4. Step 4: Simplify right side
   9,839.56x = 72,827,355.97
5. Step 5: Solve for x
   x = 72,827,355.97/9,839.56
6. Step 6: Final answer
   x = 7,401.49