Finding the Fourth Proportional to 111.09, 166.71 and 82.27

Step by Step Solution

1. Step 1: Write the proportion equation
   111.09 : 166.71 = 82.27 : x
2. Step 2: Convert to fraction form
   111.09/166.71 = 82.27/x
3. Step 3: Cross multiply
   111.09x = 166.71 × 82.27
4. Step 4: Simplify right side
   111.09x = 13,715.23
5. Step 5: Solve for x
   x = 13,715.23/111.09
6. Step 6: Final answer
   x = 123.46