Finding the Fourth Proportional to 1,410.84, 1,947.08 and 821.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.84 : 1,947.08 = 821.36 : x
2. Step 2: Convert to fraction form
   1,410.84/1,947.08 = 821.36/x
3. Step 3: Cross multiply
   1,410.84x = 1,947.08 × 821.36
4. Step 4: Simplify right side
   1,410.84x = 1,599,260.55
5. Step 5: Solve for x
   x = 1,599,260.55/1,410.84
6. Step 6: Final answer
   x = 1,133.55