Finding the Fourth Proportional to 105.82, 158.56 and 64.67

Step by Step Solution

1. Step 1: Write the proportion equation
   105.82 : 158.56 = 64.67 : x
2. Step 2: Convert to fraction form
   105.82/158.56 = 64.67/x
3. Step 3: Cross multiply
   105.82x = 158.56 × 64.67
4. Step 4: Simplify right side
   105.82x = 10,252.96
5. Step 5: Solve for x
   x = 10,252.96/105.82
6. Step 6: Final answer
   x = 96.89