Finding the Fourth Proportional to 9,766.81, 14,644.05 and 5,387.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.81 : 14,644.05 = 5,387.32 : x
2. Step 2: Convert to fraction form
   9,766.81/14,644.05 = 5,387.32/x
3. Step 3: Cross multiply
   9,766.81x = 14,644.05 × 5,387.32
4. Step 4: Simplify right side
   9,766.81x = 78,892,183.45
5. Step 5: Solve for x
   x = 78,892,183.45/9,766.81
6. Step 6: Final answer
   x = 8,077.58