Finding the Fourth Proportional to 2,564.81, 3,847.59 and 809.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.81 : 3,847.59 = 809.22 : x
2. Step 2: Convert to fraction form
   2,564.81/3,847.59 = 809.22/x
3. Step 3: Cross multiply
   2,564.81x = 3,847.59 × 809.22
4. Step 4: Simplify right side
   2,564.81x = 3,113,546.78
5. Step 5: Solve for x
   x = 3,113,546.78/2,564.81
6. Step 6: Final answer
   x = 1,213.95