Finding the Fourth Proportional to 1,446.86, 1,996.67 and 783.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.86 : 1,996.67 = 783.71 : x
2. Step 2: Convert to fraction form
   1,446.86/1,996.67 = 783.71/x
3. Step 3: Cross multiply
   1,446.86x = 1,996.67 × 783.71
4. Step 4: Simplify right side
   1,446.86x = 1,564,796.34
5. Step 5: Solve for x
   x = 1,564,796.34/1,446.86
6. Step 6: Final answer
   x = 1,081.52