Finding the Fourth Proportional to 1,105.72, 1,657.62 and 586.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.72 : 1,657.62 = 586.24 : x
2. Step 2: Convert to fraction form
   1,105.72/1,657.62 = 586.24/x
3. Step 3: Cross multiply
   1,105.72x = 1,657.62 × 586.24
4. Step 4: Simplify right side
   1,105.72x = 971,763.15
5. Step 5: Solve for x
   x = 971,763.15/1,105.72
6. Step 6: Final answer
   x = 878.85