Finding the Fourth Proportional to 1,410.57, 1,946.58 and 821.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.57 : 1,946.58 = 821.49 : x
2. Step 2: Convert to fraction form
   1,410.57/1,946.58 = 821.49/x
3. Step 3: Cross multiply
   1,410.57x = 1,946.58 × 821.49
4. Step 4: Simplify right side
   1,410.57x = 1,599,096.00
5. Step 5: Solve for x
   x = 1,599,096.00/1,410.57
6. Step 6: Final answer
   x = 1,133.65