Finding the Fourth Proportional to 5,669.83, 7,825.91 and 3,680.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,669.83 : 7,825.91 = 3,680.27 : x
2. Step 2: Convert to fraction form
   5,669.83/7,825.91 = 3,680.27/x
3. Step 3: Cross multiply
   5,669.83x = 7,825.91 × 3,680.27
4. Step 4: Simplify right side
   5,669.83x = 28,801,461.80
5. Step 5: Solve for x
   x = 28,801,461.80/5,669.83
6. Step 6: Final answer
   x = 5,079.78