Finding the Fourth Proportional to 10.27, 15.42 and 10.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10.27 : 15.42 = 10.09 : x
2. Step 2: Convert to fraction form
   10.27/15.42 = 10.09/x
3. Step 3: Cross multiply
   10.27x = 15.42 × 10.09
4. Step 4: Simplify right side
   10.27x = 155.59
5. Step 5: Solve for x
   x = 155.59/10.27
6. Step 6: Final answer
   x = 15.15