Finding the Fourth Proportional to 11.48, 15.83 and 7.84

Step by Step Solution

1. Step 1: Write the proportion equation
   11.48 : 15.83 = 7.84 : x
2. Step 2: Convert to fraction form
   11.48/15.83 = 7.84/x
3. Step 3: Cross multiply
   11.48x = 15.83 × 7.84
4. Step 4: Simplify right side
   11.48x = 124.03
5. Step 5: Solve for x
   x = 124.03/11.48
6. Step 6: Final answer
   x = 10.81