Finding the Fourth Proportional to 2,592.86, 3,578.12 and 1,413.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.86 : 3,578.12 = 1,413.92 : x
2. Step 2: Convert to fraction form
   2,592.86/3,578.12 = 1,413.92/x
3. Step 3: Cross multiply
   2,592.86x = 3,578.12 × 1,413.92
4. Step 4: Simplify right side
   2,592.86x = 5,059,175.43
5. Step 5: Solve for x
   x = 5,059,175.43/2,592.86
6. Step 6: Final answer
   x = 1,951.19