Finding the Fourth Proportional to 2,004.58, 2,761.18 and 1,414.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.58 : 2,761.18 = 1,414.08 : x
2. Step 2: Convert to fraction form
   2,004.58/2,761.18 = 1,414.08/x
3. Step 3: Cross multiply
   2,004.58x = 2,761.18 × 1,414.08
4. Step 4: Simplify right side
   2,004.58x = 3,904,529.41
5. Step 5: Solve for x
   x = 3,904,529.41/2,004.58
6. Step 6: Final answer
   x = 1,947.80