Finding the Fourth Proportional to 1,411.52, 1,948.05 and 814.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.52 : 1,948.05 = 814.05 : x
2. Step 2: Convert to fraction form
   1,411.52/1,948.05 = 814.05/x
3. Step 3: Cross multiply
   1,411.52x = 1,948.05 × 814.05
4. Step 4: Simplify right side
   1,411.52x = 1,585,810.10
5. Step 5: Solve for x
   x = 1,585,810.10/1,411.52
6. Step 6: Final answer
   x = 1,123.48