Finding the Fourth Proportional to 10,359.38, 14,296.29 and 5,644.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.38 : 14,296.29 = 5,644.10 : x
2. Step 2: Convert to fraction form
   10,359.38/14,296.29 = 5,644.10/x
3. Step 3: Cross multiply
   10,359.38x = 14,296.29 × 5,644.10
4. Step 4: Simplify right side
   10,359.38x = 80,689,690.39
5. Step 5: Solve for x
   x = 80,689,690.39/10,359.38
6. Step 6: Final answer
   x = 7,789.05