Finding the Fourth Proportional to 105.74, 158.52 and 80.02

Step by Step Solution

1. Step 1: Write the proportion equation
   105.74 : 158.52 = 80.02 : x
2. Step 2: Convert to fraction form
   105.74/158.52 = 80.02/x
3. Step 3: Cross multiply
   105.74x = 158.52 × 80.02
4. Step 4: Simplify right side
   105.74x = 12,685.27
5. Step 5: Solve for x
   x = 12,685.27/105.74
6. Step 6: Final answer
   x = 119.97