Finding the Fourth Proportional to 1,410.27, 1,946.34 and 821.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.27 : 1,946.34 = 821.01 : x
2. Step 2: Convert to fraction form
   1,410.27/1,946.34 = 821.01/x
3. Step 3: Cross multiply
   1,410.27x = 1,946.34 × 821.01
4. Step 4: Simplify right side
   1,410.27x = 1,597,964.60
5. Step 5: Solve for x
   x = 1,597,964.60/1,410.27
6. Step 6: Final answer
   x = 1,133.09