Finding the Fourth Proportional to 111.78, 166.77 and 102.06

Step by Step Solution

1. Step 1: Write the proportion equation
   111.78 : 166.77 = 102.06 : x
2. Step 2: Convert to fraction form
   111.78/166.77 = 102.06/x
3. Step 3: Cross multiply
   111.78x = 166.77 × 102.06
4. Step 4: Simplify right side
   111.78x = 17,020.55
5. Step 5: Solve for x
   x = 17,020.55/111.78
6. Step 6: Final answer
   x = 152.27