Finding the Fourth Proportional to 2,767.27, 4,151.71 and 819.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,767.27 : 4,151.71 = 819.52 : x
2. Step 2: Convert to fraction form
   2,767.27/4,151.71 = 819.52/x
3. Step 3: Cross multiply
   2,767.27x = 4,151.71 × 819.52
4. Step 4: Simplify right side
   2,767.27x = 3,402,396.95
5. Step 5: Solve for x
   x = 3,402,396.95/2,767.27
6. Step 6: Final answer
   x = 1,229.52