Finding the Fourth Proportional to 105,983.10, 158,946.48 and 31,083.12

Step by Step Solution

1. Step 1: Write the proportion equation
   105,983.10 : 158,946.48 = 31,083.12 : x
2. Step 2: Convert to fraction form
   105,983.10/158,946.48 = 31,083.12/x
3. Step 3: Cross multiply
   105,983.10x = 158,946.48 × 31,083.12
4. Step 4: Simplify right side
   105,983.10x = 4,940,552,511.42
5. Step 5: Solve for x
   x = 4,940,552,511.42/105,983.10
6. Step 6: Final answer
   x = 46,616.42