Finding the Fourth Proportional to 2,546.34, 3,819.59 and 814.97

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.34 : 3,819.59 = 814.97 : x
2. Step 2: Convert to fraction form
   2,546.34/3,819.59 = 814.97/x
3. Step 3: Cross multiply
   2,546.34x = 3,819.59 × 814.97
4. Step 4: Simplify right side
   2,546.34x = 3,112,828.09
5. Step 5: Solve for x
   x = 3,112,828.09/2,546.34
6. Step 6: Final answer
   x = 1,222.47