Finding the Fourth Proportional to 1,294.27, 1,940.31 and 514.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294.27 : 1,940.31 = 514.82 : x
2. Step 2: Convert to fraction form
   1,294.27/1,940.31 = 514.82/x
3. Step 3: Cross multiply
   1,294.27x = 1,940.31 × 514.82
4. Step 4: Simplify right side
   1,294.27x = 998,910.39
5. Step 5: Solve for x
   x = 998,910.39/1,294.27
6. Step 6: Final answer
   x = 771.79