Finding the Fourth Proportional to 2,583.87, 3,876.41 and 1,413.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.87 : 3,876.41 = 1,413.55 : x
2. Step 2: Convert to fraction form
   2,583.87/3,876.41 = 1,413.55/x
3. Step 3: Cross multiply
   2,583.87x = 3,876.41 × 1,413.55
4. Step 4: Simplify right side
   2,583.87x = 5,479,499.36
5. Step 5: Solve for x
   x = 5,479,499.36/2,583.87
6. Step 6: Final answer
   x = 2,120.66