Finding the Fourth Proportional to 2,592.69, 3,577.89 and 1,413.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.69 : 3,577.89 = 1,413.77 : x
2. Step 2: Convert to fraction form
   2,592.69/3,577.89 = 1,413.77/x
3. Step 3: Cross multiply
   2,592.69x = 3,577.89 × 1,413.77
4. Step 4: Simplify right side
   2,592.69x = 5,058,295.66
5. Step 5: Solve for x
   x = 5,058,295.66/2,592.69
6. Step 6: Final answer
   x = 1,950.98