Finding the Fourth Proportional to 4,086.37, 5,638.30 and 2,406.61

Step by Step Solution

1. Step 1: Write the proportion equation
   4,086.37 : 5,638.30 = 2,406.61 : x
2. Step 2: Convert to fraction form
   4,086.37/5,638.30 = 2,406.61/x
3. Step 3: Cross multiply
   4,086.37x = 5,638.30 × 2,406.61
4. Step 4: Simplify right side
   4,086.37x = 13,569,189.16
5. Step 5: Solve for x
   x = 13,569,189.16/4,086.37
6. Step 6: Final answer
   x = 3,320.60