Finding the Fourth Proportional to 123.50, 185.12 and 42.27

Step by Step Solution

1. Step 1: Write the proportion equation
   123.50 : 185.12 = 42.27 : x
2. Step 2: Convert to fraction form
   123.50/185.12 = 42.27/x
3. Step 3: Cross multiply
   123.50x = 185.12 × 42.27
4. Step 4: Simplify right side
   123.50x = 7,824.81
5. Step 5: Solve for x
   x = 7,824.81/123.50
6. Step 6: Final answer
   x = 63.36