Finding the Fourth Proportional to 2,582.66, 3,875.34 and 1,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.66 : 3,875.34 = 1,413.50 : x
2. Step 2: Convert to fraction form
   2,582.66/3,875.34 = 1,413.50/x
3. Step 3: Cross multiply
   2,582.66x = 3,875.34 × 1,413.50
4. Step 4: Simplify right side
   2,582.66x = 5,477,793.09
5. Step 5: Solve for x
   x = 5,477,793.09/2,582.66
6. Step 6: Final answer
   x = 2,120.99