Finding the Fourth Proportional to 4,147.62, 5,723.69 and 2,259.30

Step by Step Solution

1. Step 1: Write the proportion equation
   4,147.62 : 5,723.69 = 2,259.30 : x
2. Step 2: Convert to fraction form
   4,147.62/5,723.69 = 2,259.30/x
3. Step 3: Cross multiply
   4,147.62x = 5,723.69 × 2,259.30
4. Step 4: Simplify right side
   4,147.62x = 12,931,532.82
5. Step 5: Solve for x
   x = 12,931,532.82/4,147.62
6. Step 6: Final answer
   x = 3,117.82