Finding the Fourth Proportional to 2,585.96, 3,872.75 and 1,414.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.96 : 3,872.75 = 1,414.20 : x
2. Step 2: Convert to fraction form
   2,585.96/3,872.75 = 1,414.20/x
3. Step 3: Cross multiply
   2,585.96x = 3,872.75 × 1,414.20
4. Step 4: Simplify right side
   2,585.96x = 5,476,835.98
5. Step 5: Solve for x
   x = 5,476,835.98/2,585.96
6. Step 6: Final answer
   x = 2,117.92