Finding the Fourth Proportional to 1,410.94, 1,947.23 and 821.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.94 : 1,947.23 = 821.47 : x
2. Step 2: Convert to fraction form
   1,410.94/1,947.23 = 821.47/x
3. Step 3: Cross multiply
   1,410.94x = 1,947.23 × 821.47
4. Step 4: Simplify right side
   1,410.94x = 1,599,591.03
5. Step 5: Solve for x
   x = 1,599,591.03/1,410.94
6. Step 6: Final answer
   x = 1,133.71