Finding the Fourth Proportional to 109,983.60, 164,959.20 and 31,105.80

Step by Step Solution

1. Step 1: Write the proportion equation
   109,983.60 : 164,959.20 = 31,105.80 : x
2. Step 2: Convert to fraction form
   109,983.60/164,959.20 = 31,105.80/x
3. Step 3: Cross multiply
   109,983.60x = 164,959.20 × 31,105.80
4. Step 4: Simplify right side
   109,983.60x = 5,131,187,883.36
5. Step 5: Solve for x
   x = 5,131,187,883.36/109,983.60
6. Step 6: Final answer
   x = 46,654.12