Finding the Fourth Proportional to 105.23, 158.83 and 105.23

Step by Step Solution

1. Step 1: Write the proportion equation
   105.23 : 158.83 = 105.23 : x
2. Step 2: Convert to fraction form
   105.23/158.83 = 105.23/x
3. Step 3: Cross multiply
   105.23x = 158.83 × 105.23
4. Step 4: Simplify right side
   105.23x = 16,713.68
5. Step 5: Solve for x
   x = 16,713.68/105.23
6. Step 6: Final answer
   x = 158.83