Finding the Fourth Proportional to 10,359.77, 14,296.40 and 5,644.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.77 : 14,296.40 = 5,644.05 : x
2. Step 2: Convert to fraction form
   10,359.77/14,296.40 = 5,644.05/x
3. Step 3: Cross multiply
   10,359.77x = 14,296.40 × 5,644.05
4. Step 4: Simplify right side
   10,359.77x = 80,689,596.42
5. Step 5: Solve for x
   x = 80,689,596.42/10,359.77
6. Step 6: Final answer
   x = 7,788.74