Finding the Fourth Proportional to 123.69, 185.47 and 55.18

Step by Step Solution

1. Step 1: Write the proportion equation
   123.69 : 185.47 = 55.18 : x
2. Step 2: Convert to fraction form
   123.69/185.47 = 55.18/x
3. Step 3: Cross multiply
   123.69x = 185.47 × 55.18
4. Step 4: Simplify right side
   123.69x = 10,234.23
5. Step 5: Solve for x
   x = 10,234.23/123.69
6. Step 6: Final answer
   x = 82.74