Finding the Fourth Proportional to 6,388.69, 9,581.50 and 2,005.57

Step by Step Solution

1. Step 1: Write the proportion equation
   6,388.69 : 9,581.50 = 2,005.57 : x
2. Step 2: Convert to fraction form
   6,388.69/9,581.50 = 2,005.57/x
3. Step 3: Cross multiply
   6,388.69x = 9,581.50 × 2,005.57
4. Step 4: Simplify right side
   6,388.69x = 19,216,368.96
5. Step 5: Solve for x
   x = 19,216,368.96/6,388.69
6. Step 6: Final answer
   x = 3,007.87