Finding the Fourth Proportional to 2,004.52, 2,765.42 and 1,414.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.52 : 2,765.42 = 1,414.84 : x
2. Step 2: Convert to fraction form
   2,004.52/2,765.42 = 1,414.84/x
3. Step 3: Cross multiply
   2,004.52x = 2,765.42 × 1,414.84
4. Step 4: Simplify right side
   2,004.52x = 3,912,626.83
5. Step 5: Solve for x
   x = 3,912,626.83/2,004.52
6. Step 6: Final answer
   x = 1,951.90