Finding the Fourth Proportional to 1,410.98, 1,947.33 and 821.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.98 : 1,947.33 = 821.52 : x
2. Step 2: Convert to fraction form
   1,410.98/1,947.33 = 821.52/x
3. Step 3: Cross multiply
   1,410.98x = 1,947.33 × 821.52
4. Step 4: Simplify right side
   1,410.98x = 1,599,770.54
5. Step 5: Solve for x
   x = 1,599,770.54/1,410.98
6. Step 6: Final answer
   x = 1,133.81