Finding the Fourth Proportional to 6,096.52, 8,413.14 and 3,578.68

Step by Step Solution

1. Step 1: Write the proportion equation
   6,096.52 : 8,413.14 = 3,578.68 : x
2. Step 2: Convert to fraction form
   6,096.52/8,413.14 = 3,578.68/x
3. Step 3: Cross multiply
   6,096.52x = 8,413.14 × 3,578.68
4. Step 4: Simplify right side
   6,096.52x = 30,107,935.86
5. Step 5: Solve for x
   x = 30,107,935.86/6,096.52
6. Step 6: Final answer
   x = 4,938.54