Finding the Fourth Proportional to 2,764.49, 3,814.56 and 1,569.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,764.49 : 3,814.56 = 1,569.56 : x
2. Step 2: Convert to fraction form
   2,764.49/3,814.56 = 1,569.56/x
3. Step 3: Cross multiply
   2,764.49x = 3,814.56 × 1,569.56
4. Step 4: Simplify right side
   2,764.49x = 5,987,161.72
5. Step 5: Solve for x
   x = 5,987,161.72/2,764.49
6. Step 6: Final answer
   x = 2,165.74