Finding the Fourth Proportional to 1,766.88, 2,438.10 and 1,020.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,766.88 : 2,438.10 = 1,020.78 : x
2. Step 2: Convert to fraction form
   1,766.88/2,438.10 = 1,020.78/x
3. Step 3: Cross multiply
   1,766.88x = 2,438.10 × 1,020.78
4. Step 4: Simplify right side
   1,766.88x = 2,488,763.72
5. Step 5: Solve for x
   x = 2,488,763.72/1,766.88
6. Step 6: Final answer
   x = 1,408.56