Finding the Fourth Proportional to 6,002.88, 8,283.15 and 3,644.61

Step by Step Solution

1. Step 1: Write the proportion equation
   6,002.88 : 8,283.15 = 3,644.61 : x
2. Step 2: Convert to fraction form
   6,002.88/8,283.15 = 3,644.61/x
3. Step 3: Cross multiply
   6,002.88x = 8,283.15 × 3,644.61
4. Step 4: Simplify right side
   6,002.88x = 30,188,851.32
5. Step 5: Solve for x
   x = 30,188,851.32/6,002.88
6. Step 6: Final answer
   x = 5,029.06