Finding the Fourth Proportional to 1,411.29, 1,947.71 and 821.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.29 : 1,947.71 = 821.87 : x
2. Step 2: Convert to fraction form
   1,411.29/1,947.71 = 821.87/x
3. Step 3: Cross multiply
   1,411.29x = 1,947.71 × 821.87
4. Step 4: Simplify right side
   1,411.29x = 1,600,750.57
5. Step 5: Solve for x
   x = 1,600,750.57/1,411.29
6. Step 6: Final answer
   x = 1,134.25