Finding the Fourth Proportional to 123.94, 185.97 and 111.16

Step by Step Solution

1. Step 1: Write the proportion equation
   123.94 : 185.97 = 111.16 : x
2. Step 2: Convert to fraction form
   123.94/185.97 = 111.16/x
3. Step 3: Cross multiply
   123.94x = 185.97 × 111.16
4. Step 4: Simplify right side
   123.94x = 20,671.50
5. Step 5: Solve for x
   x = 20,671.50/123.94
6. Step 6: Final answer
   x = 166.79