Finding the Fourth Proportional to 2,052.58, 3,077.64 and 820.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,052.58 : 3,077.64 = 820.18 : x
2. Step 2: Convert to fraction form
   2,052.58/3,077.64 = 820.18/x
3. Step 3: Cross multiply
   2,052.58x = 3,077.64 × 820.18
4. Step 4: Simplify right side
   2,052.58x = 2,524,218.78
5. Step 5: Solve for x
   x = 2,524,218.78/2,052.58
6. Step 6: Final answer
   x = 1,229.78