Finding the Fourth Proportional to 10,644.96, 14,689.56 and 5,929.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,644.96 : 14,689.56 = 5,929.20 : x
2. Step 2: Convert to fraction form
   10,644.96/14,689.56 = 5,929.20/x
3. Step 3: Cross multiply
   10,644.96x = 14,689.56 × 5,929.20
4. Step 4: Simplify right side
   10,644.96x = 87,097,339.15
5. Step 5: Solve for x
   x = 87,097,339.15/10,644.96
6. Step 6: Final answer
   x = 8,182.03