Finding the Fourth Proportional to 10,360.40, 14,297.27 and 5,644.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,360.40 : 14,297.27 = 5,644.68 : x
2. Step 2: Convert to fraction form
   10,360.40/14,297.27 = 5,644.68/x
3. Step 3: Cross multiply
   10,360.40x = 14,297.27 × 5,644.68
4. Step 4: Simplify right side
   10,360.40x = 80,703,414.31
5. Step 5: Solve for x
   x = 80,703,414.31/10,360.40
6. Step 6: Final answer
   x = 7,789.61