Finding the Fourth Proportional to 123.56, 185.42 and 92.78

Step by Step Solution

1. Step 1: Write the proportion equation
   123.56 : 185.42 = 92.78 : x
2. Step 2: Convert to fraction form
   123.56/185.42 = 92.78/x
3. Step 3: Cross multiply
   123.56x = 185.42 × 92.78
4. Step 4: Simplify right side
   123.56x = 17,203.27
5. Step 5: Solve for x
   x = 17,203.27/123.56
6. Step 6: Final answer
   x = 139.23