Finding the Fourth Proportional to 5,257.59, 7,891.86 and 3,872.49

Step by Step Solution

1. Step 1: Write the proportion equation
   5,257.59 : 7,891.86 = 3,872.49 : x
2. Step 2: Convert to fraction form
   5,257.59/7,891.86 = 3,872.49/x
3. Step 3: Cross multiply
   5,257.59x = 7,891.86 × 3,872.49
4. Step 4: Simplify right side
   5,257.59x = 30,561,129.57
5. Step 5: Solve for x
   x = 30,561,129.57/5,257.59
6. Step 6: Final answer
   x = 5,812.76