Finding the Fourth Proportional to 9,578.24, 13,216.52 and 5,385.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,578.24 : 13,216.52 = 5,385.68 : x
2. Step 2: Convert to fraction form
   9,578.24/13,216.52 = 5,385.68/x
3. Step 3: Cross multiply
   9,578.24x = 13,216.52 × 5,385.68
4. Step 4: Simplify right side
   9,578.24x = 71,179,947.43
5. Step 5: Solve for x
   x = 71,179,947.43/9,578.24
6. Step 6: Final answer
   x = 7,431.42