Finding the Fourth Proportional to 2,546.16, 3,820.04 and 814.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.16 : 3,820.04 = 814.78 : x
2. Step 2: Convert to fraction form
   2,546.16/3,820.04 = 814.78/x
3. Step 3: Cross multiply
   2,546.16x = 3,820.04 × 814.78
4. Step 4: Simplify right side
   2,546.16x = 3,112,500.53
5. Step 5: Solve for x
   x = 3,112,500.53/2,546.16
6. Step 6: Final answer
   x = 1,222.43