Finding the Fourth Proportional to 2,546.56, 3,819.20 and 814.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.56 : 3,819.20 = 814.72 : x
2. Step 2: Convert to fraction form
   2,546.56/3,819.20 = 814.72/x
3. Step 3: Cross multiply
   2,546.56x = 3,819.20 × 814.72
4. Step 4: Simplify right side
   2,546.56x = 3,111,578.62
5. Step 5: Solve for x
   x = 3,111,578.62/2,546.56
6. Step 6: Final answer
   x = 1,221.88