Finding the Fourth Proportional to 1,411.27, 1,947.62 and 813.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.27 : 1,947.62 = 813.85 : x
2. Step 2: Convert to fraction form
   1,411.27/1,947.62 = 813.85/x
3. Step 3: Cross multiply
   1,411.27x = 1,947.62 × 813.85
4. Step 4: Simplify right side
   1,411.27x = 1,585,070.54
5. Step 5: Solve for x
   x = 1,585,070.54/1,411.27
6. Step 6: Final answer
   x = 1,123.15