Finding the Fourth Proportional to 111.10, 166.85 and 105.63

Step by Step Solution

1. Step 1: Write the proportion equation
   111.10 : 166.85 = 105.63 : x
2. Step 2: Convert to fraction form
   111.10/166.85 = 105.63/x
3. Step 3: Cross multiply
   111.10x = 166.85 × 105.63
4. Step 4: Simplify right side
   111.10x = 17,624.37
5. Step 5: Solve for x
   x = 17,624.37/111.10
6. Step 6: Final answer
   x = 158.64