Finding the Fourth Proportional to 7,824.72, 11,728.88 and 3,661.22

Step by Step Solution

1. Step 1: Write the proportion equation
   7,824.72 : 11,728.88 = 3,661.22 : x
2. Step 2: Convert to fraction form
   7,824.72/11,728.88 = 3,661.22/x
3. Step 3: Cross multiply
   7,824.72x = 11,728.88 × 3,661.22
4. Step 4: Simplify right side
   7,824.72x = 42,942,021.05
5. Step 5: Solve for x
   x = 42,942,021.05/7,824.72
6. Step 6: Final answer
   x = 5,487.99