Finding the Fourth Proportional to 2,453.83, 3,680.22 and 809.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,453.83 : 3,680.22 = 809.98 : x
2. Step 2: Convert to fraction form
   2,453.83/3,680.22 = 809.98/x
3. Step 3: Cross multiply
   2,453.83x = 3,680.22 × 809.98
4. Step 4: Simplify right side
   2,453.83x = 2,980,914.58
5. Step 5: Solve for x
   x = 2,980,914.58/2,453.83
6. Step 6: Final answer
   x = 1,214.80