Finding the Fourth Proportional to 1,446.78, 1,996.55 and 783.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.78 : 1,996.55 = 783.63 : x
2. Step 2: Convert to fraction form
   1,446.78/1,996.55 = 783.63/x
3. Step 3: Cross multiply
   1,446.78x = 1,996.55 × 783.63
4. Step 4: Simplify right side
   1,446.78x = 1,564,554.29
5. Step 5: Solve for x
   x = 1,564,554.29/1,446.78
6. Step 6: Final answer
   x = 1,081.41