Finding the Fourth Proportional to 105.82, 158.53 and 65.22

Step by Step Solution

1. Step 1: Write the proportion equation
   105.82 : 158.53 = 65.22 : x
2. Step 2: Convert to fraction form
   105.82/158.53 = 65.22/x
3. Step 3: Cross multiply
   105.82x = 158.53 × 65.22
4. Step 4: Simplify right side
   105.82x = 10,339.33
5. Step 5: Solve for x
   x = 10,339.33/105.82
6. Step 6: Final answer
   x = 97.71