Finding the Fourth Proportional to 10,644.96, 14,690.16 and 5,929.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,644.96 : 14,690.16 = 5,929.52 : x
2. Step 2: Convert to fraction form
   10,644.96/14,690.16 = 5,929.52/x
3. Step 3: Cross multiply
   10,644.96x = 14,690.16 × 5,929.52
4. Step 4: Simplify right side
   10,644.96x = 87,105,597.52
5. Step 5: Solve for x
   x = 87,105,597.52/10,644.96
6. Step 6: Final answer
   x = 8,182.80