Finding the Fourth Proportional to 1,411.14, 1,947.42 and 813.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.14 : 1,947.42 = 813.78 : x
2. Step 2: Convert to fraction form
   1,411.14/1,947.42 = 813.78/x
3. Step 3: Cross multiply
   1,411.14x = 1,947.42 × 813.78
4. Step 4: Simplify right side
   1,411.14x = 1,584,771.45
5. Step 5: Solve for x
   x = 1,584,771.45/1,411.14
6. Step 6: Final answer
   x = 1,123.04