Finding the Fourth Proportional to 2,584.82, 3,871.07 and 1,413.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.82 : 3,871.07 = 1,413.06 : x
2. Step 2: Convert to fraction form
   2,584.82/3,871.07 = 1,413.06/x
3. Step 3: Cross multiply
   2,584.82x = 3,871.07 × 1,413.06
4. Step 4: Simplify right side
   2,584.82x = 5,470,047.11
5. Step 5: Solve for x
   x = 5,470,047.11/2,584.82
6. Step 6: Final answer
   x = 2,116.22