Finding the Fourth Proportional to 10,359.77, 14,296.50 and 5,644.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.77 : 14,296.50 = 5,644.35 : x
2. Step 2: Convert to fraction form
   10,359.77/14,296.50 = 5,644.35/x
3. Step 3: Cross multiply
   10,359.77x = 14,296.50 × 5,644.35
4. Step 4: Simplify right side
   10,359.77x = 80,694,449.78
5. Step 5: Solve for x
   x = 80,694,449.78/10,359.77
6. Step 6: Final answer
   x = 7,789.22