Finding the Fourth Proportional to 2,592.60, 3,577.59 and 1,413.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.60 : 3,577.59 = 1,413.65 : x
2. Step 2: Convert to fraction form
   2,592.60/3,577.59 = 1,413.65/x
3. Step 3: Cross multiply
   2,592.60x = 3,577.59 × 1,413.65
4. Step 4: Simplify right side
   2,592.60x = 5,057,442.22
5. Step 5: Solve for x
   x = 5,057,442.22/2,592.60
6. Step 6: Final answer
   x = 1,950.72