Finding the Fourth Proportional to 1,410.96, 1,947.09 and 821.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.96 : 1,947.09 = 821.61 : x
2. Step 2: Convert to fraction form
   1,410.96/1,947.09 = 821.61/x
3. Step 3: Cross multiply
   1,410.96x = 1,947.09 × 821.61
4. Step 4: Simplify right side
   1,410.96x = 1,599,748.61
5. Step 5: Solve for x
   x = 1,599,748.61/1,410.96
6. Step 6: Final answer
   x = 1,133.80