Finding the Fourth Proportional to 1,446.57, 1,996.25 and 783.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.57 : 1,996.25 = 783.42 : x
2. Step 2: Convert to fraction form
   1,446.57/1,996.25 = 783.42/x
3. Step 3: Cross multiply
   1,446.57x = 1,996.25 × 783.42
4. Step 4: Simplify right side
   1,446.57x = 1,563,902.18
5. Step 5: Solve for x
   x = 1,563,902.18/1,446.57
6. Step 6: Final answer
   x = 1,081.11