Finding the Fourth Proportional to 4,086.32, 5,640.41 and 2,407.61

Step by Step Solution

1. Step 1: Write the proportion equation
   4,086.32 : 5,640.41 = 2,407.61 : x
2. Step 2: Convert to fraction form
   4,086.32/5,640.41 = 2,407.61/x
3. Step 3: Cross multiply
   4,086.32x = 5,640.41 × 2,407.61
4. Step 4: Simplify right side
   4,086.32x = 13,579,907.52
5. Step 5: Solve for x
   x = 13,579,907.52/4,086.32
6. Step 6: Final answer
   x = 3,323.26