Finding the Fourth Proportional to 105,971.09, 158,981.23 and 31,088.21

Step by Step Solution

1. Step 1: Write the proportion equation
   105,971.09 : 158,981.23 = 31,088.21 : x
2. Step 2: Convert to fraction form
   105,971.09/158,981.23 = 31,088.21/x
3. Step 3: Cross multiply
   105,971.09x = 158,981.23 × 31,088.21
4. Step 4: Simplify right side
   105,971.09x = 4,942,441,108.25
5. Step 5: Solve for x
   x = 4,942,441,108.25/105,971.09
6. Step 6: Final answer
   x = 46,639.53