Finding the Fourth Proportional to 11.58, 15.82 and 11.48

Step by Step Solution

1. Step 1: Write the proportion equation
   11.58 : 15.82 = 11.48 : x
2. Step 2: Convert to fraction form
   11.58/15.82 = 11.48/x
3. Step 3: Cross multiply
   11.58x = 15.82 × 11.48
4. Step 4: Simplify right side
   11.58x = 181.61
5. Step 5: Solve for x
   x = 181.61/11.58
6. Step 6: Final answer
   x = 15.68