Finding the Fourth Proportional to 105,830.50, 158,745.76 and 31,958.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,830.50 : 158,745.76 = 31,958.50 : x
2. Step 2: Convert to fraction form
   105,830.50/158,745.76 = 31,958.50/x
3. Step 3: Cross multiply
   105,830.50x = 158,745.76 × 31,958.50
4. Step 4: Simplify right side
   105,830.50x = 5,073,276,370.96
5. Step 5: Solve for x
   x = 5,073,276,370.96/105,830.50
6. Step 6: Final answer
   x = 47,937.75