Finding the Fourth Proportional to 105,727.50, 158,591.25 and 31,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,727.50 : 158,591.25 = 31,855.50 : x
2. Step 2: Convert to fraction form
   105,727.50/158,591.25 = 31,855.50/x
3. Step 3: Cross multiply
   105,727.50x = 158,591.25 × 31,855.50
4. Step 4: Simplify right side
   105,727.50x = 5,052,003,564.38
5. Step 5: Solve for x
   x = 5,052,003,564.38/105,727.50
6. Step 6: Final answer
   x = 47,783.25