Finding the Fourth Proportional to 2,546.04, 3,819.24 and 814.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.04 : 3,819.24 = 814.56 : x
2. Step 2: Convert to fraction form
   2,546.04/3,819.24 = 814.56/x
3. Step 3: Cross multiply
   2,546.04x = 3,819.24 × 814.56
4. Step 4: Simplify right side
   2,546.04x = 3,111,000.13
5. Step 5: Solve for x
   x = 3,111,000.13/2,546.04
6. Step 6: Final answer
   x = 1,221.90