Finding the Fourth Proportional to 5,942.72, 8,201.92 and 5,680.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,942.72 : 8,201.92 = 5,680.24 : x
2. Step 2: Convert to fraction form
   5,942.72/8,201.92 = 5,680.24/x
3. Step 3: Cross multiply
   5,942.72x = 8,201.92 × 5,680.24
4. Step 4: Simplify right side
   5,942.72x = 46,588,874.06
5. Step 5: Solve for x
   x = 46,588,874.06/5,942.72
6. Step 6: Final answer
   x = 7,839.65