Finding the Fourth Proportional to 109,987.10, 164,964.45 and 31,109.30

Step by Step Solution

1. Step 1: Write the proportion equation
   109,987.10 : 164,964.45 = 31,109.30 : x
2. Step 2: Convert to fraction form
   109,987.10/164,964.45 = 31,109.30/x
3. Step 3: Cross multiply
   109,987.10x = 164,964.45 × 31,109.30
4. Step 4: Simplify right side
   109,987.10x = 5,131,928,564.39
5. Step 5: Solve for x
   x = 5,131,928,564.39/109,987.10
6. Step 6: Final answer
   x = 46,659.37