Finding the Fourth Proportional to 105.27, 157.81 and 82.49

Step by Step Solution

1. Step 1: Write the proportion equation
   105.27 : 157.81 = 82.49 : x
2. Step 2: Convert to fraction form
   105.27/157.81 = 82.49/x
3. Step 3: Cross multiply
   105.27x = 157.81 × 82.49
4. Step 4: Simplify right side
   105.27x = 13,016.55
5. Step 5: Solve for x
   x = 13,016.55/105.27
6. Step 6: Final answer
   x = 123.66