Finding the Fourth Proportional to 105.82, 158.72 and 57.71

Step by Step Solution

1. Step 1: Write the proportion equation
   105.82 : 158.72 = 57.71 : x
2. Step 2: Convert to fraction form
   105.82/158.72 = 57.71/x
3. Step 3: Cross multiply
   105.82x = 158.72 × 57.71
4. Step 4: Simplify right side
   105.82x = 9,159.73
5. Step 5: Solve for x
   x = 9,159.73/105.82
6. Step 6: Final answer
   x = 86.56