Finding the Fourth Proportional to 2,002.60, 2,762.74 and 1,256.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.60 : 2,762.74 = 1,256.05 : x
2. Step 2: Convert to fraction form
   2,002.60/2,762.74 = 1,256.05/x
3. Step 3: Cross multiply
   2,002.60x = 2,762.74 × 1,256.05
4. Step 4: Simplify right side
   2,002.60x = 3,470,139.58
5. Step 5: Solve for x
   x = 3,470,139.58/2,002.60
6. Step 6: Final answer
   x = 1,732.82