Finding the Fourth Proportional to 123.80, 185.69 and 42.65

Step by Step Solution

1. Step 1: Write the proportion equation
   123.80 : 185.69 = 42.65 : x
2. Step 2: Convert to fraction form
   123.80/185.69 = 42.65/x
3. Step 3: Cross multiply
   123.80x = 185.69 × 42.65
4. Step 4: Simplify right side
   123.80x = 7,918.86
5. Step 5: Solve for x
   x = 7,918.86/123.80
6. Step 6: Final answer
   x = 63.96