Finding the Fourth Proportional to 123.24, 185.01 and 105.30

Step by Step Solution

1. Step 1: Write the proportion equation
   123.24 : 185.01 = 105.30 : x
2. Step 2: Convert to fraction form
   123.24/185.01 = 105.30/x
3. Step 3: Cross multiply
   123.24x = 185.01 × 105.30
4. Step 4: Simplify right side
   123.24x = 19,481.55
5. Step 5: Solve for x
   x = 19,481.55/123.24
6. Step 6: Final answer
   x = 158.08