Finding the Fourth Proportional to 820.01, 1,228.38 and 682.61

Step by Step Solution

1. Step 1: Write the proportion equation
   820.01 : 1,228.38 = 682.61 : x
2. Step 2: Convert to fraction form
   820.01/1,228.38 = 682.61/x
3. Step 3: Cross multiply
   820.01x = 1,228.38 × 682.61
4. Step 4: Simplify right side
   820.01x = 838,498.33
5. Step 5: Solve for x
   x = 838,498.33/820.01
6. Step 6: Final answer
   x = 1,022.55