Finding the Fourth Proportional to 2,005, 2,766.71 and 1,258.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005 : 2,766.71 = 1,258.72 : x
2. Step 2: Convert to fraction form
   2,005/2,766.71 = 1,258.72/x
3. Step 3: Cross multiply
   2,005x = 2,766.71 × 1,258.72
4. Step 4: Simplify right side
   2,005x = 3,482,513.21
5. Step 5: Solve for x
   x = 3,482,513.21/2,005
6. Step 6: Final answer
   x = 1,736.91