Finding the Fourth Proportional to 1,105.16, 1,658.14 and 585.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.16 : 1,658.14 = 585.18 : x
2. Step 2: Convert to fraction form
   1,105.16/1,658.14 = 585.18/x
3. Step 3: Cross multiply
   1,105.16x = 1,658.14 × 585.18
4. Step 4: Simplify right side
   1,105.16x = 970,308.90
5. Step 5: Solve for x
   x = 970,308.90/1,105.16
6. Step 6: Final answer
   x = 877.98