Finding the Fourth Proportional to 1,411.65, 1,948.25 and 814.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.65 : 1,948.25 = 814.14 : x
2. Step 2: Convert to fraction form
   1,411.65/1,948.25 = 814.14/x
3. Step 3: Cross multiply
   1,411.65x = 1,948.25 × 814.14
4. Step 4: Simplify right side
   1,411.65x = 1,586,150.29
5. Step 5: Solve for x
   x = 1,586,150.29/1,411.65
6. Step 6: Final answer
   x = 1,123.61