Finding the Fourth Proportional to 123.86, 185.67 and 42.65

Step by Step Solution

1. Step 1: Write the proportion equation
   123.86 : 185.67 = 42.65 : x
2. Step 2: Convert to fraction form
   123.86/185.67 = 42.65/x
3. Step 3: Cross multiply
   123.86x = 185.67 × 42.65
4. Step 4: Simplify right side
   123.86x = 7,918.59
5. Step 5: Solve for x
   x = 7,918.59/123.86
6. Step 6: Final answer
   x = 63.93