Finding the Fourth Proportional to 11.49, 15.75 and 10.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11.49 : 15.75 = 10.82 : x
2. Step 2: Convert to fraction form
   11.49/15.75 = 10.82/x
3. Step 3: Cross multiply
   11.49x = 15.75 × 10.82
4. Step 4: Simplify right side
   11.49x = 170.34
5. Step 5: Solve for x
   x = 170.34/11.49
6. Step 6: Final answer
   x = 14.82