Finding the Fourth Proportional to 9,578.37, 13,216.71 and 5,385.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,578.37 : 13,216.71 = 5,385.81 : x
2. Step 2: Convert to fraction form
   9,578.37/13,216.71 = 5,385.81/x
3. Step 3: Cross multiply
   9,578.37x = 13,216.71 × 5,385.81
4. Step 4: Simplify right side
   9,578.37x = 71,182,688.89
5. Step 5: Solve for x
   x = 71,182,688.89/9,578.37
6. Step 6: Final answer
   x = 7,431.61