Finding the Fourth Proportional to 10,296.29, 14,208.90 and 5,580.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.29 : 14,208.90 = 5,580.56 : x
2. Step 2: Convert to fraction form
   10,296.29/14,208.90 = 5,580.56/x
3. Step 3: Cross multiply
   10,296.29x = 14,208.90 × 5,580.56
4. Step 4: Simplify right side
   10,296.29x = 79,293,618.98
5. Step 5: Solve for x
   x = 79,293,618.98/10,296.29
6. Step 6: Final answer
   x = 7,701.18