Finding the Fourth Proportional to 1,201.56, 1,658.10 and 677.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,201.56 : 1,658.10 = 677.59 : x
2. Step 2: Convert to fraction form
   1,201.56/1,658.10 = 677.59/x
3. Step 3: Cross multiply
   1,201.56x = 1,658.10 × 677.59
4. Step 4: Simplify right side
   1,201.56x = 1,123,508.59
5. Step 5: Solve for x
   x = 1,123,508.59/1,201.56
6. Step 6: Final answer
   x = 935.04