Finding the Fourth Proportional to 105,838.24, 158,756.88 and 31,966.24

Step by Step Solution

1. Step 1: Write the proportion equation
   105,838.24 : 158,756.88 = 31,966.24 : x
2. Step 2: Convert to fraction form
   105,838.24/158,756.88 = 31,966.24/x
3. Step 3: Cross multiply
   105,838.24x = 158,756.88 × 31,966.24
4. Step 4: Simplify right side
   105,838.24x = 5,074,860,527.73
5. Step 5: Solve for x
   x = 5,074,860,527.73/105,838.24
6. Step 6: Final answer
   x = 47,949.22