Finding the Fourth Proportional to 6,510.64, 8,984.03 and 3,638.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,510.64 : 8,984.03 = 3,638.83 : x
2. Step 2: Convert to fraction form
   6,510.64/8,984.03 = 3,638.83/x
3. Step 3: Cross multiply
   6,510.64x = 8,984.03 × 3,638.83
4. Step 4: Simplify right side
   6,510.64x = 32,691,344.52
5. Step 5: Solve for x
   x = 32,691,344.52/6,510.64
6. Step 6: Final answer
   x = 5,021.22