Finding the Fourth Proportional to 9,839.66, 13,578.72 and 5,363.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.66 : 13,578.72 = 5,363.42 : x
2. Step 2: Convert to fraction form
   9,839.66/13,578.72 = 5,363.42/x
3. Step 3: Cross multiply
   9,839.66x = 13,578.72 × 5,363.42
4. Step 4: Simplify right side
   9,839.66x = 72,828,378.42
5. Step 5: Solve for x
   x = 72,828,378.42/9,839.66
6. Step 6: Final answer
   x = 7,401.51