Finding the Fourth Proportional to 10,682.24, 16,024.20 and 3,665.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,682.24 : 16,024.20 = 3,665.60 : x
2. Step 2: Convert to fraction form
   10,682.24/16,024.20 = 3,665.60/x
3. Step 3: Cross multiply
   10,682.24x = 16,024.20 × 3,665.60
4. Step 4: Simplify right side
   10,682.24x = 58,738,307.52
5. Step 5: Solve for x
   x = 58,738,307.52/10,682.24
6. Step 6: Final answer
   x = 5,498.69