Finding the Fourth Proportional to 11.10, 15.32 and 10.02

Step by Step Solution

1. Step 1: Write the proportion equation
   11.10 : 15.32 = 10.02 : x
2. Step 2: Convert to fraction form
   11.10/15.32 = 10.02/x
3. Step 3: Cross multiply
   11.10x = 15.32 × 10.02
4. Step 4: Simplify right side
   11.10x = 153.51
5. Step 5: Solve for x
   x = 153.51/11.10
6. Step 6: Final answer
   x = 13.83