Finding the Fourth Proportional to 1,411.14, 1,947.40 and 821.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.14 : 1,947.40 = 821.66 : x
2. Step 2: Convert to fraction form
   1,411.14/1,947.40 = 821.66/x
3. Step 3: Cross multiply
   1,411.14x = 1,947.40 × 821.66
4. Step 4: Simplify right side
   1,411.14x = 1,600,103.50
5. Step 5: Solve for x
   x = 1,600,103.50/1,411.14
6. Step 6: Final answer
   x = 1,133.91