Finding the Fourth Proportional to 109,897.10, 164,829.45 and 31,019.30

Step by Step Solution

1. Step 1: Write the proportion equation
   109,897.10 : 164,829.45 = 31,019.30 : x
2. Step 2: Convert to fraction form
   109,897.10/164,829.45 = 31,019.30/x
3. Step 3: Cross multiply
   109,897.10x = 164,829.45 × 31,019.30
4. Step 4: Simplify right side
   109,897.10x = 5,112,894,158.39
5. Step 5: Solve for x
   x = 5,112,894,158.39/109,897.10
6. Step 6: Final answer
   x = 46,524.38