Finding the Fourth Proportional to 6,384.82, 9,577.50 and 2,002.18

Step by Step Solution

1. Step 1: Write the proportion equation
   6,384.82 : 9,577.50 = 2,002.18 : x
2. Step 2: Convert to fraction form
   6,384.82/9,577.50 = 2,002.18/x
3. Step 3: Cross multiply
   6,384.82x = 9,577.50 × 2,002.18
4. Step 4: Simplify right side
   6,384.82x = 19,175,878.95
5. Step 5: Solve for x
   x = 19,175,878.95/6,384.82
6. Step 6: Final answer
   x = 3,003.35