Finding the Fourth Proportional to 2,004.12, 2,766.05 and 1,258.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.12 : 2,766.05 = 1,258.74 : x
2. Step 2: Convert to fraction form
   2,004.12/2,766.05 = 1,258.74/x
3. Step 3: Cross multiply
   2,004.12x = 2,766.05 × 1,258.74
4. Step 4: Simplify right side
   2,004.12x = 3,481,737.78
5. Step 5: Solve for x
   x = 3,481,737.78/2,004.12
6. Step 6: Final answer
   x = 1,737.29