Finding the Fourth Proportional to 2,052.27, 3,079.65 and 819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,052.27 : 3,079.65 = 819.50 : x
2. Step 2: Convert to fraction form
   2,052.27/3,079.65 = 819.50/x
3. Step 3: Cross multiply
   2,052.27x = 3,079.65 × 819.50
4. Step 4: Simplify right side
   2,052.27x = 2,523,757.78
5. Step 5: Solve for x
   x = 2,523,757.78/2,052.27
6. Step 6: Final answer
   x = 1,229.74