Finding the Fourth Proportional to 1,446.82, 1,996.61 and 783.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.82 : 1,996.61 = 783.67 : x
2. Step 2: Convert to fraction form
   1,446.82/1,996.61 = 783.67/x
3. Step 3: Cross multiply
   1,446.82x = 1,996.61 × 783.67
4. Step 4: Simplify right side
   1,446.82x = 1,564,674.45
5. Step 5: Solve for x
   x = 1,564,674.45/1,446.82
6. Step 6: Final answer
   x = 1,081.46