Finding the Fourth Proportional to 6,385.34, 9,577.92 and 2,002.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,385.34 : 9,577.92 = 2,002.82 : x
2. Step 2: Convert to fraction form
   6,385.34/9,577.92 = 2,002.82/x
3. Step 3: Cross multiply
   6,385.34x = 9,577.92 × 2,002.82
4. Step 4: Simplify right side
   6,385.34x = 19,182,849.73
5. Step 5: Solve for x
   x = 19,182,849.73/6,385.34
6. Step 6: Final answer
   x = 3,004.20