Finding the Fourth Proportional to 1,411.26, 1,947.88 and 821.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.26 : 1,947.88 = 821.90 : x
2. Step 2: Convert to fraction form
   1,411.26/1,947.88 = 821.90/x
3. Step 3: Cross multiply
   1,411.26x = 1,947.88 × 821.90
4. Step 4: Simplify right side
   1,411.26x = 1,600,962.57
5. Step 5: Solve for x
   x = 1,600,962.57/1,411.26
6. Step 6: Final answer
   x = 1,134.42