Finding the Fourth Proportional to 2,592.77, 3,578.00 and 1,413.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.77 : 3,578.00 = 1,413.86 : x
2. Step 2: Convert to fraction form
   2,592.77/3,578.00 = 1,413.86/x
3. Step 3: Cross multiply
   2,592.77x = 3,578.00 × 1,413.86
4. Step 4: Simplify right side
   2,592.77x = 5,058,766.12
5. Step 5: Solve for x
   x = 5,058,766.12/2,592.77
6. Step 6: Final answer
   x = 1,951.11