Finding the Fourth Proportional to 2,592.58, 3,577.71 and 1,413.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.58 : 3,577.71 = 1,413.66 : x
2. Step 2: Convert to fraction form
   2,592.58/3,577.71 = 1,413.66/x
3. Step 3: Cross multiply
   2,592.58x = 3,577.71 × 1,413.66
4. Step 4: Simplify right side
   2,592.58x = 5,057,665.52
5. Step 5: Solve for x
   x = 5,057,665.52/2,592.58
6. Step 6: Final answer
   x = 1,950.82