Finding the Fourth Proportional to 1,446.64, 1,996.42 and 817.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.64 : 1,996.42 = 817.30 : x
2. Step 2: Convert to fraction form
   1,446.64/1,996.42 = 817.30/x
3. Step 3: Cross multiply
   1,446.64x = 1,996.42 × 817.30
4. Step 4: Simplify right side
   1,446.64x = 1,631,674.07
5. Step 5: Solve for x
   x = 1,631,674.07/1,446.64
6. Step 6: Final answer
   x = 1,127.91