Finding the Fourth Proportional to 1,411.90, 1,948.27 and 814.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.90 : 1,948.27 = 814.38 : x
2. Step 2: Convert to fraction form
   1,411.90/1,948.27 = 814.38/x
3. Step 3: Cross multiply
   1,411.90x = 1,948.27 × 814.38
4. Step 4: Simplify right side
   1,411.90x = 1,586,628.05
5. Step 5: Solve for x
   x = 1,586,628.05/1,411.90
6. Step 6: Final answer
   x = 1,123.75