Finding the Fourth Proportional to 1,414.72, 1,948.27 and 1,021.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.72 : 1,948.27 = 1,021.12 : x
2. Step 2: Convert to fraction form
   1,414.72/1,948.27 = 1,021.12/x
3. Step 3: Cross multiply
   1,414.72x = 1,948.27 × 1,021.12
4. Step 4: Simplify right side
   1,414.72x = 1,989,407.72
5. Step 5: Solve for x
   x = 1,989,407.72/1,414.72
6. Step 6: Final answer
   x = 1,406.23