Finding the Fourth Proportional to 9,839.82, 13,578.77 and 5,363.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.82 : 13,578.77 = 5,363.62 : x
2. Step 2: Convert to fraction form
   9,839.82/13,578.77 = 5,363.62/x
3. Step 3: Cross multiply
   9,839.82x = 13,578.77 × 5,363.62
4. Step 4: Simplify right side
   9,839.82x = 72,831,362.35
5. Step 5: Solve for x
   x = 72,831,362.35/9,839.82
6. Step 6: Final answer
   x = 7,401.70