Finding the Fourth Proportional to 2,592.23, 3,577.10 and 1,413.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.23 : 3,577.10 = 1,413.27 : x
2. Step 2: Convert to fraction form
   2,592.23/3,577.10 = 1,413.27/x
3. Step 3: Cross multiply
   2,592.23x = 3,577.10 × 1,413.27
4. Step 4: Simplify right side
   2,592.23x = 5,055,401.05
5. Step 5: Solve for x
   x = 5,055,401.05/2,592.23
6. Step 6: Final answer
   x = 1,950.22