Finding the Fourth Proportional to 10,054.29, 13,874.85 and 5,578.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.29 : 13,874.85 = 5,578.23 : x
2. Step 2: Convert to fraction form
   10,054.29/13,874.85 = 5,578.23/x
3. Step 3: Cross multiply
   10,054.29x = 13,874.85 × 5,578.23
4. Step 4: Simplify right side
   10,054.29x = 77,397,104.52
5. Step 5: Solve for x
   x = 77,397,104.52/10,054.29
6. Step 6: Final answer
   x = 7,697.92