Finding the Fourth Proportional to 6,414.21, 9,608.85 and 3,632.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,414.21 : 9,608.85 = 3,632.31 : x
2. Step 2: Convert to fraction form
   6,414.21/9,608.85 = 3,632.31/x
3. Step 3: Cross multiply
   6,414.21x = 9,608.85 × 3,632.31
4. Step 4: Simplify right side
   6,414.21x = 34,902,321.94
5. Step 5: Solve for x
   x = 34,902,321.94/6,414.21
6. Step 6: Final answer
   x = 5,441.41