Finding the Fourth Proportional to 109,983.10, 164,958.45 and 31,105.30

Step by Step Solution

1. Step 1: Write the proportion equation
   109,983.10 : 164,958.45 = 31,105.30 : x
2. Step 2: Convert to fraction form
   109,983.10/164,958.45 = 31,105.30/x
3. Step 3: Cross multiply
   109,983.10x = 164,958.45 × 31,105.30
4. Step 4: Simplify right side
   109,983.10x = 5,131,082,074.79
5. Step 5: Solve for x
   x = 5,131,082,074.79/109,983.10
6. Step 6: Final answer
   x = 46,653.37