Finding the Fourth Proportional to 105,198.47, 145,077.72 and 82,231.32

Step by Step Solution

1. Step 1: Write the proportion equation
   105,198.47 : 145,077.72 = 82,231.32 : x
2. Step 2: Convert to fraction form
   105,198.47/145,077.72 = 82,231.32/x
3. Step 3: Cross multiply
   105,198.47x = 145,077.72 × 82,231.32
4. Step 4: Simplify right side
   105,198.47x = 11,929,932,418.19
5. Step 5: Solve for x
   x = 11,929,932,418.19/105,198.47
6. Step 6: Final answer
   x = 113,404.05