Finding the Fourth Proportional to 2,005.04, 2,763.72 and 1,414.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.04 : 2,763.72 = 1,414.64 : x
2. Step 2: Convert to fraction form
   2,005.04/2,763.72 = 1,414.64/x
3. Step 3: Cross multiply
   2,005.04x = 2,763.72 × 1,414.64
4. Step 4: Simplify right side
   2,005.04x = 3,909,668.86
5. Step 5: Solve for x
   x = 3,909,668.86/2,005.04
6. Step 6: Final answer
   x = 1,949.92