Finding the Fourth Proportional to 123.76, 185.65 and 42.61

Step by Step Solution

1. Step 1: Write the proportion equation
   123.76 : 185.65 = 42.61 : x
2. Step 2: Convert to fraction form
   123.76/185.65 = 42.61/x
3. Step 3: Cross multiply
   123.76x = 185.65 × 42.61
4. Step 4: Simplify right side
   123.76x = 7,909.69
5. Step 5: Solve for x
   x = 7,909.69/123.76
6. Step 6: Final answer
   x = 63.91