Finding the Fourth Proportional to 2,585.82, 3,872.56 and 1,414.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.82 : 3,872.56 = 1,414.06 : x
2. Step 2: Convert to fraction form
   2,585.82/3,872.56 = 1,414.06/x
3. Step 3: Cross multiply
   2,585.82x = 3,872.56 × 1,414.06
4. Step 4: Simplify right side
   2,585.82x = 5,476,032.19
5. Step 5: Solve for x
   x = 5,476,032.19/2,585.82
6. Step 6: Final answer
   x = 2,117.72