Finding the Fourth Proportional to 9,839.75, 13,578.69 and 5,363.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.75 : 13,578.69 = 5,363.54 : x
2. Step 2: Convert to fraction form
   9,839.75/13,578.69 = 5,363.54/x
3. Step 3: Cross multiply
   9,839.75x = 13,578.69 × 5,363.54
4. Step 4: Simplify right side
   9,839.75x = 72,829,846.96
5. Step 5: Solve for x
   x = 72,829,846.96/9,839.75
6. Step 6: Final answer
   x = 7,401.60