Finding the Fourth Proportional to 105.69, 158.49 and 57.63

Step by Step Solution

1. Step 1: Write the proportion equation
   105.69 : 158.49 = 57.63 : x
2. Step 2: Convert to fraction form
   105.69/158.49 = 57.63/x
3. Step 3: Cross multiply
   105.69x = 158.49 × 57.63
4. Step 4: Simplify right side
   105.69x = 9,133.78
5. Step 5: Solve for x
   x = 9,133.78/105.69
6. Step 6: Final answer
   x = 86.42