Finding the Fourth Proportional to 10,359.51, 14,296.40 and 5,644.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.51 : 14,296.40 = 5,644.09 : x
2. Step 2: Convert to fraction form
   10,359.51/14,296.40 = 5,644.09/x
3. Step 3: Cross multiply
   10,359.51x = 14,296.40 × 5,644.09
4. Step 4: Simplify right side
   10,359.51x = 80,690,168.28
5. Step 5: Solve for x
   x = 80,690,168.28/10,359.51
6. Step 6: Final answer
   x = 7,788.99