Finding the Fourth Proportional to 105,755.82, 145,966.50 and 82,740.24

Step by Step Solution

1. Step 1: Write the proportion equation
   105,755.82 : 145,966.50 = 82,740.24 : x
2. Step 2: Convert to fraction form
   105,755.82/145,966.50 = 82,740.24/x
3. Step 3: Cross multiply
   105,755.82x = 145,966.50 × 82,740.24
4. Step 4: Simplify right side
   105,755.82x = 12,077,303,241.96
5. Step 5: Solve for x
   x = 12,077,303,241.96/105,755.82
6. Step 6: Final answer
   x = 114,199.89