Finding the Fourth Proportional to 105.82, 158.55 and 71.59

Step by Step Solution

1. Step 1: Write the proportion equation
   105.82 : 158.55 = 71.59 : x
2. Step 2: Convert to fraction form
   105.82/158.55 = 71.59/x
3. Step 3: Cross multiply
   105.82x = 158.55 × 71.59
4. Step 4: Simplify right side
   105.82x = 11,350.59
5. Step 5: Solve for x
   x = 11,350.59/105.82
6. Step 6: Final answer
   x = 107.26