Finding the Fourth Proportional to 1,243.49, 1,864.01 and 513.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,243.49 : 1,864.01 = 513.59 : x
2. Step 2: Convert to fraction form
   1,243.49/1,864.01 = 513.59/x
3. Step 3: Cross multiply
   1,243.49x = 1,864.01 × 513.59
4. Step 4: Simplify right side
   1,243.49x = 957,328.86
5. Step 5: Solve for x
   x = 957,328.86/1,243.49
6. Step 6: Final answer
   x = 769.88