Finding the Fourth Proportional to 1,410.98, 1,946.70 and 821.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.98 : 1,946.70 = 821.30 : x
2. Step 2: Convert to fraction form
   1,410.98/1,946.70 = 821.30/x
3. Step 3: Cross multiply
   1,410.98x = 1,946.70 × 821.30
4. Step 4: Simplify right side
   1,410.98x = 1,598,824.71
5. Step 5: Solve for x
   x = 1,598,824.71/1,410.98
6. Step 6: Final answer
   x = 1,133.13