Finding the Fourth Proportional to 9,839.29, 13,578.05 and 5,363.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.29 : 13,578.05 = 5,363.08 : x
2. Step 2: Convert to fraction form
   9,839.29/13,578.05 = 5,363.08/x
3. Step 3: Cross multiply
   9,839.29x = 13,578.05 × 5,363.08
4. Step 4: Simplify right side
   9,839.29x = 72,820,073.69
5. Step 5: Solve for x
   x = 72,820,073.69/9,839.29
6. Step 6: Final answer
   x = 7,400.95