Finding the Fourth Proportional to 2,569.15, 3,855.57 and 1,109.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.15 : 3,855.57 = 1,109.35 : x
2. Step 2: Convert to fraction form
   2,569.15/3,855.57 = 1,109.35/x
3. Step 3: Cross multiply
   2,569.15x = 3,855.57 × 1,109.35
4. Step 4: Simplify right side
   2,569.15x = 4,277,176.58
5. Step 5: Solve for x
   x = 4,277,176.58/2,569.15
6. Step 6: Final answer
   x = 1,664.82