Finding the Fourth Proportional to 105,972.09, 158,982.73 and 31,089.21

Step by Step Solution

1. Step 1: Write the proportion equation
   105,972.09 : 158,982.73 = 31,089.21 : x
2. Step 2: Convert to fraction form
   105,972.09/158,982.73 = 31,089.21/x
3. Step 3: Cross multiply
   105,972.09x = 158,982.73 × 31,089.21
4. Step 4: Simplify right side
   105,972.09x = 4,942,647,479.34
5. Step 5: Solve for x
   x = 4,942,647,479.34/105,972.09
6. Step 6: Final answer
   x = 46,641.03