Finding the Fourth Proportional to 11.42, 15.77 and 10.05

Step by Step Solution

1. Step 1: Write the proportion equation
   11.42 : 15.77 = 10.05 : x
2. Step 2: Convert to fraction form
   11.42/15.77 = 10.05/x
3. Step 3: Cross multiply
   11.42x = 15.77 × 10.05
4. Step 4: Simplify right side
   11.42x = 158.49
5. Step 5: Solve for x
   x = 158.49/11.42
6. Step 6: Final answer
   x = 13.88