Finding the Fourth Proportional to 111.41, 166.83 and 70.71

Step by Step Solution

1. Step 1: Write the proportion equation
   111.41 : 166.83 = 70.71 : x
2. Step 2: Convert to fraction form
   111.41/166.83 = 70.71/x
3. Step 3: Cross multiply
   111.41x = 166.83 × 70.71
4. Step 4: Simplify right side
   111.41x = 11,796.55
5. Step 5: Solve for x
   x = 11,796.55/111.41
6. Step 6: Final answer
   x = 105.89