Finding the Fourth Proportional to 10,054.56, 13,874.97 and 5,578.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.56 : 13,874.97 = 5,578.38 : x
2. Step 2: Convert to fraction form
   10,054.56/13,874.97 = 5,578.38/x
3. Step 3: Cross multiply
   10,054.56x = 13,874.97 × 5,578.38
4. Step 4: Simplify right side
   10,054.56x = 77,399,855.15
5. Step 5: Solve for x
   x = 77,399,855.15/10,054.56
6. Step 6: Final answer
   x = 7,697.99