Finding the Fourth Proportional to 1,293.50, 1,940.69 and 513.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,293.50 : 1,940.69 = 513.72 : x
2. Step 2: Convert to fraction form
   1,293.50/1,940.69 = 513.72/x
3. Step 3: Cross multiply
   1,293.50x = 1,940.69 × 513.72
4. Step 4: Simplify right side
   1,293.50x = 996,968.70
5. Step 5: Solve for x
   x = 996,968.70/1,293.50
6. Step 6: Final answer
   x = 770.76