Finding the Fourth Proportional to 10,359.72, 14,296.41 and 5,644

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.72 : 14,296.41 = 5,644 : x
2. Step 2: Convert to fraction form
   10,359.72/14,296.41 = 5,644/x
3. Step 3: Cross multiply
   10,359.72x = 14,296.41 × 5,644
4. Step 4: Simplify right side
   10,359.72x = 80,688,938.04
5. Step 5: Solve for x
   x = 80,688,938.04/10,359.72
6. Step 6: Final answer
   x = 7,788.72