Finding the Fourth Proportional to 123.78, 185.71 and 113.06

Step by Step Solution

1. Step 1: Write the proportion equation
   123.78 : 185.71 = 113.06 : x
2. Step 2: Convert to fraction form
   123.78/185.71 = 113.06/x
3. Step 3: Cross multiply
   123.78x = 185.71 × 113.06
4. Step 4: Simplify right side
   123.78x = 20,996.37
5. Step 5: Solve for x
   x = 20,996.37/123.78
6. Step 6: Final answer
   x = 169.63