Finding the Fourth Proportional to 105.72, 158.76 and 65.16

Step by Step Solution

1. Step 1: Write the proportion equation
   105.72 : 158.76 = 65.16 : x
2. Step 2: Convert to fraction form
   105.72/158.76 = 65.16/x
3. Step 3: Cross multiply
   105.72x = 158.76 × 65.16
4. Step 4: Simplify right side
   105.72x = 10,344.80
5. Step 5: Solve for x
   x = 10,344.80/105.72
6. Step 6: Final answer
   x = 97.85