Finding the Fourth Proportional to 2,546.29, 3,819.57 and 814.51

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.29 : 3,819.57 = 814.51 : x
2. Step 2: Convert to fraction form
   2,546.29/3,819.57 = 814.51/x
3. Step 3: Cross multiply
   2,546.29x = 3,819.57 × 814.51
4. Step 4: Simplify right side
   2,546.29x = 3,111,077.96
5. Step 5: Solve for x
   x = 3,111,077.96/2,546.29
6. Step 6: Final answer
   x = 1,221.81