Finding the Fourth Proportional to 2,569.14, 3,853.31 and 1,181.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.14 : 3,853.31 = 1,181.61 : x
2. Step 2: Convert to fraction form
   2,569.14/3,853.31 = 1,181.61/x
3. Step 3: Cross multiply
   2,569.14x = 3,853.31 × 1,181.61
4. Step 4: Simplify right side
   2,569.14x = 4,553,103.72
5. Step 5: Solve for x
   x = 4,553,103.72/2,569.14
6. Step 6: Final answer
   x = 1,772.23