Finding the Fourth Proportional to 1,411.04, 1,947.24 and 821.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.04 : 1,947.24 = 821.42 : x
2. Step 2: Convert to fraction form
   1,411.04/1,947.24 = 821.42/x
3. Step 3: Cross multiply
   1,411.04x = 1,947.24 × 821.42
4. Step 4: Simplify right side
   1,411.04x = 1,599,501.88
5. Step 5: Solve for x
   x = 1,599,501.88/1,411.04
6. Step 6: Final answer
   x = 1,133.56