Finding the Fourth Proportional to 6,401.54, 9,589.34 and 3,583.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,401.54 : 9,589.34 = 3,583.82 : x
2. Step 2: Convert to fraction form
   6,401.54/9,589.34 = 3,583.82/x
3. Step 3: Cross multiply
   6,401.54x = 9,589.34 × 3,583.82
4. Step 4: Simplify right side
   6,401.54x = 34,366,468.48
5. Step 5: Solve for x
   x = 34,366,468.48/6,401.54
6. Step 6: Final answer
   x = 5,368.47