Finding the Fourth Proportional to 4,086.10, 5,638.71 and 2,317.78

Step by Step Solution

1. Step 1: Write the proportion equation
   4,086.10 : 5,638.71 = 2,317.78 : x
2. Step 2: Convert to fraction form
   4,086.10/5,638.71 = 2,317.78/x
3. Step 3: Cross multiply
   4,086.10x = 5,638.71 × 2,317.78
4. Step 4: Simplify right side
   4,086.10x = 13,069,289.26
5. Step 5: Solve for x
   x = 13,069,289.26/4,086.10
6. Step 6: Final answer
   x = 3,198.48