Finding the Fourth Proportional to 123.75, 185.69 and 111.14

Step by Step Solution

1. Step 1: Write the proportion equation
   123.75 : 185.69 = 111.14 : x
2. Step 2: Convert to fraction form
   123.75/185.69 = 111.14/x
3. Step 3: Cross multiply
   123.75x = 185.69 × 111.14
4. Step 4: Simplify right side
   123.75x = 20,637.59
5. Step 5: Solve for x
   x = 20,637.59/123.75
6. Step 6: Final answer
   x = 166.78