Finding the Fourth Proportional to 10,293.97, 14,205.69 and 5,578.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,293.97 : 14,205.69 = 5,578.26 : x
2. Step 2: Convert to fraction form
   10,293.97/14,205.69 = 5,578.26/x
3. Step 3: Cross multiply
   10,293.97x = 14,205.69 × 5,578.26
4. Step 4: Simplify right side
   10,293.97x = 79,243,032.30
5. Step 5: Solve for x
   x = 79,243,032.30/10,293.97
6. Step 6: Final answer
   x = 7,698.00