Finding the Fourth Proportional to 2,569.98, 3,856.56 and 1,109.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.98 : 3,856.56 = 1,109.10 : x
2. Step 2: Convert to fraction form
   2,569.98/3,856.56 = 1,109.10/x
3. Step 3: Cross multiply
   2,569.98x = 3,856.56 × 1,109.10
4. Step 4: Simplify right side
   2,569.98x = 4,277,310.70
5. Step 5: Solve for x
   x = 4,277,310.70/2,569.98
6. Step 6: Final answer
   x = 1,664.34