Finding the Fourth Proportional to 1,411.36, 1,947.53 and 821.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.36 : 1,947.53 = 821.84 : x
2. Step 2: Convert to fraction form
   1,411.36/1,947.53 = 821.84/x
3. Step 3: Cross multiply
   1,411.36x = 1,947.53 × 821.84
4. Step 4: Simplify right side
   1,411.36x = 1,600,558.06
5. Step 5: Solve for x
   x = 1,600,558.06/1,411.36
6. Step 6: Final answer
   x = 1,134.05