Finding the Fourth Proportional to 1,411.51, 1,947.09 and 821.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.51 : 1,947.09 = 821.98 : x
2. Step 2: Convert to fraction form
   1,411.51/1,947.09 = 821.98/x
3. Step 3: Cross multiply
   1,411.51x = 1,947.09 × 821.98
4. Step 4: Simplify right side
   1,411.51x = 1,600,469.04
5. Step 5: Solve for x
   x = 1,600,469.04/1,411.51
6. Step 6: Final answer
   x = 1,133.87