Finding the Fourth Proportional to 10,296.09, 14,208.57 and 5,580.36

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.09 : 14,208.57 = 5,580.36 : x
2. Step 2: Convert to fraction form
   10,296.09/14,208.57 = 5,580.36/x
3. Step 3: Cross multiply
   10,296.09x = 14,208.57 × 5,580.36
4. Step 4: Simplify right side
   10,296.09x = 79,288,935.69
5. Step 5: Solve for x
   x = 79,288,935.69/10,296.09
6. Step 6: Final answer
   x = 7,700.88