Finding the Fourth Proportional to 105.76, 158 and 105.16

Step by Step Solution

1. Step 1: Write the proportion equation
   105.76 : 158 = 105.16 : x
2. Step 2: Convert to fraction form
   105.76/158 = 105.16/x
3. Step 3: Cross multiply
   105.76x = 158 × 105.16
4. Step 4: Simplify right side
   105.76x = 16,615.28
5. Step 5: Solve for x
   x = 16,615.28/105.76
6. Step 6: Final answer
   x = 157.10