Finding the Fourth Proportional to 2,005.35, 2,766.52 and 1,258.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.35 : 2,766.52 = 1,258.80 : x
2. Step 2: Convert to fraction form
   2,005.35/2,766.52 = 1,258.80/x
3. Step 3: Cross multiply
   2,005.35x = 2,766.52 × 1,258.80
4. Step 4: Simplify right side
   2,005.35x = 3,482,495.38
5. Step 5: Solve for x
   x = 3,482,495.38/2,005.35
6. Step 6: Final answer
   x = 1,736.60