Finding the Fourth Proportional to 111.16, 166.71 and 46.16

Step by Step Solution

1. Step 1: Write the proportion equation
   111.16 : 166.71 = 46.16 : x
2. Step 2: Convert to fraction form
   111.16/166.71 = 46.16/x
3. Step 3: Cross multiply
   111.16x = 166.71 × 46.16
4. Step 4: Simplify right side
   111.16x = 7,695.33
5. Step 5: Solve for x
   x = 7,695.33/111.16
6. Step 6: Final answer
   x = 69.23