Finding the Fourth Proportional to 105,723, 158,584.50 and 31,851

Step by Step Solution

1. Step 1: Write the proportion equation
   105,723 : 158,584.50 = 31,851 : x
2. Step 2: Convert to fraction form
   105,723/158,584.50 = 31,851/x
3. Step 3: Cross multiply
   105,723x = 158,584.50 × 31,851
4. Step 4: Simplify right side
   105,723x = 5,051,074,909.50
5. Step 5: Solve for x
   x = 5,051,074,909.50/105,723
6. Step 6: Final answer
   x = 47,776.50