Finding the Fourth Proportional to 1,205.82, 1,658.78 and 1,055.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205.82 : 1,658.78 = 1,055.82 : x
2. Step 2: Convert to fraction form
   1,205.82/1,658.78 = 1,055.82/x
3. Step 3: Cross multiply
   1,205.82x = 1,658.78 × 1,055.82
4. Step 4: Simplify right side
   1,205.82x = 1,751,373.10
5. Step 5: Solve for x
   x = 1,751,373.10/1,205.82
6. Step 6: Final answer
   x = 1,452.43