Finding the Fourth Proportional to 2,546.06, 3,819.74 and 814.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.06 : 3,819.74 = 814.68 : x
2. Step 2: Convert to fraction form
   2,546.06/3,819.74 = 814.68/x
3. Step 3: Cross multiply
   2,546.06x = 3,819.74 × 814.68
4. Step 4: Simplify right side
   2,546.06x = 3,111,865.78
5. Step 5: Solve for x
   x = 3,111,865.78/2,546.06
6. Step 6: Final answer
   x = 1,222.23