Finding the Fourth Proportional to 105,821.72, 158,732.56 and 82,465.64

Step by Step Solution

1. Step 1: Write the proportion equation
   105,821.72 : 158,732.56 = 82,465.64 : x
2. Step 2: Convert to fraction form
   105,821.72/158,732.56 = 82,465.64/x
3. Step 3: Cross multiply
   105,821.72x = 158,732.56 × 82,465.64
4. Step 4: Simplify right side
   105,821.72x = 13,089,982,149.24
5. Step 5: Solve for x
   x = 13,089,982,149.24/105,821.72
6. Step 6: Final answer
   x = 123,698.44