Finding the Fourth Proportional to 1,201.89, 1,658.22 and 677.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,201.89 : 1,658.22 = 677.82 : x
2. Step 2: Convert to fraction form
   1,201.89/1,658.22 = 677.82/x
3. Step 3: Cross multiply
   1,201.89x = 1,658.22 × 677.82
4. Step 4: Simplify right side
   1,201.89x = 1,123,974.68
5. Step 5: Solve for x
   x = 1,123,974.68/1,201.89
6. Step 6: Final answer
   x = 935.17