Finding the Fourth Proportional to 2,574.56, 3,861.81 and 819.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574.56 : 3,861.81 = 819.67 : x
2. Step 2: Convert to fraction form
   2,574.56/3,861.81 = 819.67/x
3. Step 3: Cross multiply
   2,574.56x = 3,861.81 × 819.67
4. Step 4: Simplify right side
   2,574.56x = 3,165,405.70
5. Step 5: Solve for x
   x = 3,165,405.70/2,574.56
6. Step 6: Final answer
   x = 1,229.49