Finding the Fourth Proportional to 5,648.57, 7,797.71 and 3,763.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,648.57 : 7,797.71 = 3,763.30 : x
2. Step 2: Convert to fraction form
   5,648.57/7,797.71 = 3,763.30/x
3. Step 3: Cross multiply
   5,648.57x = 7,797.71 × 3,763.30
4. Step 4: Simplify right side
   5,648.57x = 29,345,064.24
5. Step 5: Solve for x
   x = 29,345,064.24/5,648.57
6. Step 6: Final answer
   x = 5,195.13