Finding the Fourth Proportional to 1,411.29, 1,947.18 and 813.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.29 : 1,947.18 = 813.75 : x
2. Step 2: Convert to fraction form
   1,411.29/1,947.18 = 813.75/x
3. Step 3: Cross multiply
   1,411.29x = 1,947.18 × 813.75
4. Step 4: Simplify right side
   1,411.29x = 1,584,517.73
5. Step 5: Solve for x
   x = 1,584,517.73/1,411.29
6. Step 6: Final answer
   x = 1,122.74