Finding the Fourth Proportional to 1,446.89, 1,996.70 and 783.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.89 : 1,996.70 = 783.75 : x
2. Step 2: Convert to fraction form
   1,446.89/1,996.70 = 783.75/x
3. Step 3: Cross multiply
   1,446.89x = 1,996.70 × 783.75
4. Step 4: Simplify right side
   1,446.89x = 1,564,921.87
5. Step 5: Solve for x
   x = 1,564,921.87/1,446.89
6. Step 6: Final answer
   x = 1,081.58