Finding the Fourth Proportional to 1,104.83, 1,658.20 and 585.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,104.83 : 1,658.20 = 585.20 : x
2. Step 2: Convert to fraction form
   1,104.83/1,658.20 = 585.20/x
3. Step 3: Cross multiply
   1,104.83x = 1,658.20 × 585.20
4. Step 4: Simplify right side
   1,104.83x = 970,381.32
5. Step 5: Solve for x
   x = 970,381.32/1,104.83
6. Step 6: Final answer
   x = 878.31