Finding the Fourth Proportional to 9,839.63, 13,578.60 and 5,363.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.63 : 13,578.60 = 5,363.38 : x
2. Step 2: Convert to fraction form
   9,839.63/13,578.60 = 5,363.38/x
3. Step 3: Cross multiply
   9,839.63x = 13,578.60 × 5,363.38
4. Step 4: Simplify right side
   9,839.63x = 72,827,174.69
5. Step 5: Solve for x
   x = 72,827,174.69/9,839.63
6. Step 6: Final answer
   x = 7,401.42