Finding the Fourth Proportional to 2,077.17, 2,866.77 and 1,414.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.17 : 2,866.77 = 1,414.59 : x
2. Step 2: Convert to fraction form
   2,077.17/2,866.77 = 1,414.59/x
3. Step 3: Cross multiply
   2,077.17x = 2,866.77 × 1,414.59
4. Step 4: Simplify right side
   2,077.17x = 4,055,304.17
5. Step 5: Solve for x
   x = 4,055,304.17/2,077.17
6. Step 6: Final answer
   x = 1,952.32