Finding the Fourth Proportional to 111.06, 166.86 and 107.82

Step by Step Solution

1. Step 1: Write the proportion equation
   111.06 : 166.86 = 107.82 : x
2. Step 2: Convert to fraction form
   111.06/166.86 = 107.82/x
3. Step 3: Cross multiply
   111.06x = 166.86 × 107.82
4. Step 4: Simplify right side
   111.06x = 17,990.85
5. Step 5: Solve for x
   x = 17,990.85/111.06
6. Step 6: Final answer
   x = 161.99