Finding the Fourth Proportional to 2,766.94, 4,151.02 and 819.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,766.94 : 4,151.02 = 819.30 : x
2. Step 2: Convert to fraction form
   2,766.94/4,151.02 = 819.30/x
3. Step 3: Cross multiply
   2,766.94x = 4,151.02 × 819.30
4. Step 4: Simplify right side
   2,766.94x = 3,400,930.69
5. Step 5: Solve for x
   x = 3,400,930.69/2,766.94
6. Step 6: Final answer
   x = 1,229.13