Finding the Fourth Proportional to 6,441.50, 8,889.30 and 3,647

Step by Step Solution

1. Step 1: Write the proportion equation
   6,441.50 : 8,889.30 = 3,647 : x
2. Step 2: Convert to fraction form
   6,441.50/8,889.30 = 3,647/x
3. Step 3: Cross multiply
   6,441.50x = 8,889.30 × 3,647
4. Step 4: Simplify right side
   6,441.50x = 32,419,277.10
5. Step 5: Solve for x
   x = 32,419,277.10/6,441.50
6. Step 6: Final answer
   x = 5,032.88