Finding the Fourth Proportional to 2,227.98, 3,341.17 and 766.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,227.98 : 3,341.17 = 766.78 : x
2. Step 2: Convert to fraction form
   2,227.98/3,341.17 = 766.78/x
3. Step 3: Cross multiply
   2,227.98x = 3,341.17 × 766.78
4. Step 4: Simplify right side
   2,227.98x = 2,561,942.33
5. Step 5: Solve for x
   x = 2,561,942.33/2,227.98
6. Step 6: Final answer
   x = 1,149.89