Finding the Fourth Proportional to 2,488.50, 3,735.06 and 1,256.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,488.50 : 3,735.06 = 1,256.78 : x
2. Step 2: Convert to fraction form
   2,488.50/3,735.06 = 1,256.78/x
3. Step 3: Cross multiply
   2,488.50x = 3,735.06 × 1,256.78
4. Step 4: Simplify right side
   2,488.50x = 4,694,149.90
5. Step 5: Solve for x
   x = 4,694,149.90/2,488.50
6. Step 6: Final answer
   x = 1,886.33