Finding the Fourth Proportional to 3,681.93, 5,078.42 and 2,563.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,681.93 : 5,078.42 = 2,563.25 : x
2. Step 2: Convert to fraction form
   3,681.93/5,078.42 = 2,563.25/x
3. Step 3: Cross multiply
   3,681.93x = 5,078.42 × 2,563.25
4. Step 4: Simplify right side
   3,681.93x = 13,017,221.86
5. Step 5: Solve for x
   x = 13,017,221.86/3,681.93
6. Step 6: Final answer
   x = 3,535.43