Finding the Fourth Proportional to 2,005.16, 2,766.71 and 1,446.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.16 : 2,766.71 = 1,446.46 : x
2. Step 2: Convert to fraction form
   2,005.16/2,766.71 = 1,446.46/x
3. Step 3: Cross multiply
   2,005.16x = 2,766.71 × 1,446.46
4. Step 4: Simplify right side
   2,005.16x = 4,001,923.91
5. Step 5: Solve for x
   x = 4,001,923.91/2,005.16
6. Step 6: Final answer
   x = 1,995.82