Finding the Fourth Proportional to 9,839.60, 13,578.56 and 5,363.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.60 : 13,578.56 = 5,363.35 : x
2. Step 2: Convert to fraction form
   9,839.60/13,578.56 = 5,363.35/x
3. Step 3: Cross multiply
   9,839.60x = 13,578.56 × 5,363.35
4. Step 4: Simplify right side
   9,839.60x = 72,826,529.13
5. Step 5: Solve for x
   x = 72,826,529.13/9,839.60
6. Step 6: Final answer
   x = 7,401.37