Finding the Fourth Proportional to 10,360.17, 14,296.64 and 5,644.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,360.17 : 14,296.64 = 5,644.49 : x
2. Step 2: Convert to fraction form
   10,360.17/14,296.64 = 5,644.49/x
3. Step 3: Cross multiply
   10,360.17x = 14,296.64 × 5,644.49
4. Step 4: Simplify right side
   10,360.17x = 80,697,141.81
5. Step 5: Solve for x
   x = 80,697,141.81/10,360.17
6. Step 6: Final answer
   x = 7,789.17