Finding the Fourth Proportional to 10,295.82, 14,208.24 and 5,580.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,295.82 : 14,208.24 = 5,580.10 : x
2. Step 2: Convert to fraction form
   10,295.82/14,208.24 = 5,580.10/x
3. Step 3: Cross multiply
   10,295.82x = 14,208.24 × 5,580.10
4. Step 4: Simplify right side
   10,295.82x = 79,283,438.71
5. Step 5: Solve for x
   x = 79,283,438.71/10,295.82
6. Step 6: Final answer
   x = 7,700.55