Finding the Fourth Proportional to 5,103.88, 7,645.57 and 2,563.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,103.88 : 7,645.57 = 2,563.31 : x
2. Step 2: Convert to fraction form
   5,103.88/7,645.57 = 2,563.31/x
3. Step 3: Cross multiply
   5,103.88x = 7,645.57 × 2,563.31
4. Step 4: Simplify right side
   5,103.88x = 19,597,978.74
5. Step 5: Solve for x
   x = 19,597,978.74/5,103.88
6. Step 6: Final answer
   x = 3,839.82