Finding the Fourth Proportional to 2,767.65, 4,152.27 and 819.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,767.65 : 4,152.27 = 819.90 : x
2. Step 2: Convert to fraction form
   2,767.65/4,152.27 = 819.90/x
3. Step 3: Cross multiply
   2,767.65x = 4,152.27 × 819.90
4. Step 4: Simplify right side
   2,767.65x = 3,404,446.17
5. Step 5: Solve for x
   x = 3,404,446.17/2,767.65
6. Step 6: Final answer
   x = 1,230.09