Finding the Fourth Proportional to 10,644.02, 14,688.57 and 5,864.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,644.02 : 14,688.57 = 5,864.42 : x
2. Step 2: Convert to fraction form
   10,644.02/14,688.57 = 5,864.42/x
3. Step 3: Cross multiply
   10,644.02x = 14,688.57 × 5,864.42
4. Step 4: Simplify right side
   10,644.02x = 86,139,919.77
5. Step 5: Solve for x
   x = 86,139,919.77/10,644.02
6. Step 6: Final answer
   x = 8,092.80