Finding the Fourth Proportional to 105.71, 158.63 and 65.16

Step by Step Solution

1. Step 1: Write the proportion equation
   105.71 : 158.63 = 65.16 : x
2. Step 2: Convert to fraction form
   105.71/158.63 = 65.16/x
3. Step 3: Cross multiply
   105.71x = 158.63 × 65.16
4. Step 4: Simplify right side
   105.71x = 10,336.01
5. Step 5: Solve for x
   x = 10,336.01/105.71
6. Step 6: Final answer
   x = 97.78