Finding the Fourth Proportional to 2,456.52, 3,684.04 and 813.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.52 : 3,684.04 = 813.20 : x
2. Step 2: Convert to fraction form
   2,456.52/3,684.04 = 813.20/x
3. Step 3: Cross multiply
   2,456.52x = 3,684.04 × 813.20
4. Step 4: Simplify right side
   2,456.52x = 2,995,861.33
5. Step 5: Solve for x
   x = 2,995,861.33/2,456.52
6. Step 6: Final answer
   x = 1,219.56