Finding the Fourth Proportional to 2,592.30, 3,577.34 and 1,413.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.30 : 3,577.34 = 1,413.36 : x
2. Step 2: Convert to fraction form
   2,592.30/3,577.34 = 1,413.36/x
3. Step 3: Cross multiply
   2,592.30x = 3,577.34 × 1,413.36
4. Step 4: Simplify right side
   2,592.30x = 5,056,069.26
5. Step 5: Solve for x
   x = 5,056,069.26/2,592.30
6. Step 6: Final answer
   x = 1,950.42