Finding the Fourth Proportional to 10,293.87, 14,205.59 and 5,578.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,293.87 : 14,205.59 = 5,578.16 : x
2. Step 2: Convert to fraction form
   10,293.87/14,205.59 = 5,578.16/x
3. Step 3: Cross multiply
   10,293.87x = 14,205.59 × 5,578.16
4. Step 4: Simplify right side
   10,293.87x = 79,241,053.91
5. Step 5: Solve for x
   x = 79,241,053.91/10,293.87
6. Step 6: Final answer
   x = 7,697.89