Finding the Fourth Proportional to 10,293.81, 14,205.50 and 5,578.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,293.81 : 14,205.50 = 5,578.12 : x
2. Step 2: Convert to fraction form
   10,293.81/14,205.50 = 5,578.12/x
3. Step 3: Cross multiply
   10,293.81x = 14,205.50 × 5,578.12
4. Step 4: Simplify right side
   10,293.81x = 79,239,983.66
5. Step 5: Solve for x
   x = 79,239,983.66/10,293.81
6. Step 6: Final answer
   x = 7,697.83