Finding the Fourth Proportional to 1,411.53, 1,948.02 and 814.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.53 : 1,948.02 = 814.13 : x
2. Step 2: Convert to fraction form
   1,411.53/1,948.02 = 814.13/x
3. Step 3: Cross multiply
   1,411.53x = 1,948.02 × 814.13
4. Step 4: Simplify right side
   1,411.53x = 1,585,937.42
5. Step 5: Solve for x
   x = 1,585,937.42/1,411.53
6. Step 6: Final answer
   x = 1,123.56