Finding the Fourth Proportional to 10,294.05, 14,205.83 and 5,578.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,294.05 : 14,205.83 = 5,578.32 : x
2. Step 2: Convert to fraction form
   10,294.05/14,205.83 = 5,578.32/x
3. Step 3: Cross multiply
   10,294.05x = 14,205.83 × 5,578.32
4. Step 4: Simplify right side
   10,294.05x = 79,244,665.61
5. Step 5: Solve for x
   x = 79,244,665.61/10,294.05
6. Step 6: Final answer
   x = 7,698.10