Finding the Fourth Proportional to 9,839.24, 13,578.16 and 5,362.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.24 : 13,578.16 = 5,362.98 : x
2. Step 2: Convert to fraction form
   9,839.24/13,578.16 = 5,362.98/x
3. Step 3: Cross multiply
   9,839.24x = 13,578.16 × 5,362.98
4. Step 4: Simplify right side
   9,839.24x = 72,819,400.52
5. Step 5: Solve for x
   x = 72,819,400.52/9,839.24
6. Step 6: Final answer
   x = 7,400.92