Finding the Fourth Proportional to 1,414.17, 1,949.81 and 1,021.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.17 : 1,949.81 = 1,021.05 : x
2. Step 2: Convert to fraction form
   1,414.17/1,949.81 = 1,021.05/x
3. Step 3: Cross multiply
   1,414.17x = 1,949.81 × 1,021.05
4. Step 4: Simplify right side
   1,414.17x = 1,990,848.40
5. Step 5: Solve for x
   x = 1,990,848.40/1,414.17
6. Step 6: Final answer
   x = 1,407.79