Finding the Fourth Proportional to 2,569.60, 3,855.15 and 814.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.60 : 3,855.15 = 814.84 : x
2. Step 2: Convert to fraction form
   2,569.60/3,855.15 = 814.84/x
3. Step 3: Cross multiply
   2,569.60x = 3,855.15 × 814.84
4. Step 4: Simplify right side
   2,569.60x = 3,141,330.43
5. Step 5: Solve for x
   x = 3,141,330.43/2,569.60
6. Step 6: Final answer
   x = 1,222.50