Finding the Fourth Proportional to 11.06, 15.25 and 7.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11.06 : 15.25 = 7.82 : x
2. Step 2: Convert to fraction form
   11.06/15.25 = 7.82/x
3. Step 3: Cross multiply
   11.06x = 15.25 × 7.82
4. Step 4: Simplify right side
   11.06x = 119.14
5. Step 5: Solve for x
   x = 119.14/11.06
6. Step 6: Final answer
   x = 10.78