Finding the Fourth Proportional to 1,105.55, 1,658.37 and 586.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.55 : 1,658.37 = 586.04 : x
2. Step 2: Convert to fraction form
   1,105.55/1,658.37 = 586.04/x
3. Step 3: Cross multiply
   1,105.55x = 1,658.37 × 586.04
4. Step 4: Simplify right side
   1,105.55x = 971,865.06
5. Step 5: Solve for x
   x = 971,865.06/1,105.55
6. Step 6: Final answer
   x = 879.08