Finding the Fourth Proportional to 1,410.52, 1,946.46 and 821.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.52 : 1,946.46 = 821.08 : x
2. Step 2: Convert to fraction form
   1,410.52/1,946.46 = 821.08/x
3. Step 3: Cross multiply
   1,410.52x = 1,946.46 × 821.08
4. Step 4: Simplify right side
   1,410.52x = 1,598,199.38
5. Step 5: Solve for x
   x = 1,598,199.38/1,410.52
6. Step 6: Final answer
   x = 1,133.06