Finding the Fourth Proportional to 109,969.56, 164,961 and 31,089.78

Step by Step Solution

1. Step 1: Write the proportion equation
   109,969.56 : 164,961 = 31,089.78 : x
2. Step 2: Convert to fraction form
   109,969.56/164,961 = 31,089.78/x
3. Step 3: Cross multiply
   109,969.56x = 164,961 × 31,089.78
4. Step 4: Simplify right side
   109,969.56x = 5,128,601,198.58
5. Step 5: Solve for x
   x = 5,128,601,198.58/109,969.56
6. Step 6: Final answer
   x = 46,636.55