Finding the Fourth Proportional to 105.69, 158.57 and 76.83

Step by Step Solution

1. Step 1: Write the proportion equation
   105.69 : 158.57 = 76.83 : x
2. Step 2: Convert to fraction form
   105.69/158.57 = 76.83/x
3. Step 3: Cross multiply
   105.69x = 158.57 × 76.83
4. Step 4: Simplify right side
   105.69x = 12,182.55
5. Step 5: Solve for x
   x = 12,182.55/105.69
6. Step 6: Final answer
   x = 115.27