Finding the Fourth Proportional to 146,329, 201,942.66 and 82,665.16

Step by Step Solution

1. Step 1: Write the proportion equation
   146,329 : 201,942.66 = 82,665.16 : x
2. Step 2: Convert to fraction form
   146,329/201,942.66 = 82,665.16/x
3. Step 3: Cross multiply
   146,329x = 201,942.66 × 82,665.16
4. Step 4: Simplify right side
   146,329x = 16,693,622,299.73
5. Step 5: Solve for x
   x = 16,693,622,299.73/146,329
6. Step 6: Final answer
   x = 114,082.80