Finding the Fourth Proportional to 1,411.79, 1,948.37 and 814.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.79 : 1,948.37 = 814.49 : x
2. Step 2: Convert to fraction form
   1,411.79/1,948.37 = 814.49/x
3. Step 3: Cross multiply
   1,411.79x = 1,948.37 × 814.49
4. Step 4: Simplify right side
   1,411.79x = 1,586,927.88
5. Step 5: Solve for x
   x = 1,586,927.88/1,411.79
6. Step 6: Final answer
   x = 1,124.05