Finding the Fourth Proportional to 4,147.59, 5,723.64 and 2,259.15

Step by Step Solution

1. Step 1: Write the proportion equation
   4,147.59 : 5,723.64 = 2,259.15 : x
2. Step 2: Convert to fraction form
   4,147.59/5,723.64 = 2,259.15/x
3. Step 3: Cross multiply
   4,147.59x = 5,723.64 × 2,259.15
4. Step 4: Simplify right side
   4,147.59x = 12,930,561.31
5. Step 5: Solve for x
   x = 12,930,561.31/4,147.59
6. Step 6: Final answer
   x = 3,117.61