Finding the Fourth Proportional to 5,640.71, 7,782.72 and 3,648.11

Step by Step Solution

1. Step 1: Write the proportion equation
   5,640.71 : 7,782.72 = 3,648.11 : x
2. Step 2: Convert to fraction form
   5,640.71/7,782.72 = 3,648.11/x
3. Step 3: Cross multiply
   5,640.71x = 7,782.72 × 3,648.11
4. Step 4: Simplify right side
   5,640.71x = 28,392,218.66
5. Step 5: Solve for x
   x = 28,392,218.66/5,640.71
6. Step 6: Final answer
   x = 5,033.45