Finding the Fourth Proportional to 105,200.96, 145,081.16 and 82,233.82

Step by Step Solution

1. Step 1: Write the proportion equation
   105,200.96 : 145,081.16 = 82,233.82 : x
2. Step 2: Convert to fraction form
   105,200.96/145,081.16 = 82,233.82/x
3. Step 3: Cross multiply
   105,200.96x = 145,081.16 × 82,233.82
4. Step 4: Simplify right side
   105,200.96x = 11,930,577,996.83
5. Step 5: Solve for x
   x = 11,930,577,996.83/105,200.96
6. Step 6: Final answer
   x = 113,407.50