Finding the Fourth Proportional to 3,753.12, 5,629.76 and 3,584.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,753.12 : 5,629.76 = 3,584.64 : x
2. Step 2: Convert to fraction form
   3,753.12/5,629.76 = 3,584.64/x
3. Step 3: Cross multiply
   3,753.12x = 5,629.76 × 3,584.64
4. Step 4: Simplify right side
   3,753.12x = 20,180,662.89
5. Step 5: Solve for x
   x = 20,180,662.89/3,753.12
6. Step 6: Final answer
   x = 5,377.04