Finding the Fourth Proportional to 2,452.34, 3,678.86 and 809.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,452.34 : 3,678.86 = 809.30 : x
2. Step 2: Convert to fraction form
   2,452.34/3,678.86 = 809.30/x
3. Step 3: Cross multiply
   2,452.34x = 3,678.86 × 809.30
4. Step 4: Simplify right side
   2,452.34x = 2,977,285.03
5. Step 5: Solve for x
   x = 2,977,285.03/2,452.34
6. Step 6: Final answer
   x = 1,214.06