Finding the Fourth Proportional to 2,583.69, 3,869.39 and 1,411.95

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.69 : 3,869.39 = 1,411.95 : x
2. Step 2: Convert to fraction form
   2,583.69/3,869.39 = 1,411.95/x
3. Step 3: Cross multiply
   2,583.69x = 3,869.39 × 1,411.95
4. Step 4: Simplify right side
   2,583.69x = 5,463,378.15
5. Step 5: Solve for x
   x = 5,463,378.15/2,583.69
6. Step 6: Final answer
   x = 2,114.56