Finding the Fourth Proportional to 2,569.78, 3,828.38 and 2,445.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.78 : 3,828.38 = 2,445.94 : x
2. Step 2: Convert to fraction form
   2,569.78/3,828.38 = 2,445.94/x
3. Step 3: Cross multiply
   2,569.78x = 3,828.38 × 2,445.94
4. Step 4: Simplify right side
   2,569.78x = 9,363,987.78
5. Step 5: Solve for x
   x = 9,363,987.78/2,569.78
6. Step 6: Final answer
   x = 3,643.89