Finding the Fourth Proportional to 2,569.86, 3,855.15 and 1,109.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.86 : 3,855.15 = 1,109.70 : x
2. Step 2: Convert to fraction form
   2,569.86/3,855.15 = 1,109.70/x
3. Step 3: Cross multiply
   2,569.86x = 3,855.15 × 1,109.70
4. Step 4: Simplify right side
   2,569.86x = 4,278,059.96
5. Step 5: Solve for x
   x = 4,278,059.96/2,569.86
6. Step 6: Final answer
   x = 1,664.71