Finding the Fourth Proportional to 105,758.82, 145,970.64 and 82,743.24

Step by Step Solution

1. Step 1: Write the proportion equation
   105,758.82 : 145,970.64 = 82,743.24 : x
2. Step 2: Convert to fraction form
   105,758.82/145,970.64 = 82,743.24/x
3. Step 3: Cross multiply
   105,758.82x = 145,970.64 × 82,743.24
4. Step 4: Simplify right side
   105,758.82x = 12,078,083,698.47
5. Step 5: Solve for x
   x = 12,078,083,698.47/105,758.82
6. Step 6: Final answer
   x = 114,204.03