Finding the Fourth Proportional to 11.38, 15.69 and 10.09

Step by Step Solution

1. Step 1: Write the proportion equation
   11.38 : 15.69 = 10.09 : x
2. Step 2: Convert to fraction form
   11.38/15.69 = 10.09/x
3. Step 3: Cross multiply
   11.38x = 15.69 × 10.09
4. Step 4: Simplify right side
   11.38x = 158.31
5. Step 5: Solve for x
   x = 158.31/11.38
6. Step 6: Final answer
   x = 13.91