Finding the Fourth Proportional to 1,411.43, 1,947.14 and 821.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.43 : 1,947.14 = 821.63 : x
2. Step 2: Convert to fraction form
   1,411.43/1,947.14 = 821.63/x
3. Step 3: Cross multiply
   1,411.43x = 1,947.14 × 821.63
4. Step 4: Simplify right side
   1,411.43x = 1,599,814.79
5. Step 5: Solve for x
   x = 1,599,814.79/1,411.43
6. Step 6: Final answer
   x = 1,133.47