Finding the Fourth Proportional to 2,569.50, 3,854.59 and 814.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.50 : 3,854.59 = 814.64 : x
2. Step 2: Convert to fraction form
   2,569.50/3,854.59 = 814.64/x
3. Step 3: Cross multiply
   2,569.50x = 3,854.59 × 814.64
4. Step 4: Simplify right side
   2,569.50x = 3,140,081.89
5. Step 5: Solve for x
   x = 3,140,081.89/2,569.50
6. Step 6: Final answer
   x = 1,222.06