Finding the Fourth Proportional to 6,494.34, 9,737.98 and 3,161.46

Step by Step Solution

1. Step 1: Write the proportion equation
   6,494.34 : 9,737.98 = 3,161.46 : x
2. Step 2: Convert to fraction form
   6,494.34/9,737.98 = 3,161.46/x
3. Step 3: Cross multiply
   6,494.34x = 9,737.98 × 3,161.46
4. Step 4: Simplify right side
   6,494.34x = 30,786,234.25
5. Step 5: Solve for x
   x = 30,786,234.25/6,494.34
6. Step 6: Final answer
   x = 4,740.47