Finding the Fourth Proportional to 2,585.06, 3,874.10 and 1,413.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.06 : 3,874.10 = 1,413.30 : x
2. Step 2: Convert to fraction form
   2,585.06/3,874.10 = 1,413.30/x
3. Step 3: Cross multiply
   2,585.06x = 3,874.10 × 1,413.30
4. Step 4: Simplify right side
   2,585.06x = 5,475,258.46
5. Step 5: Solve for x
   x = 5,475,258.46/2,585.06
6. Step 6: Final answer
   x = 2,118.04