Finding the Fourth Proportional to 10,054.21, 13,874.85 and 5,578.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.21 : 13,874.85 = 5,578.05 : x
2. Step 2: Convert to fraction form
   10,054.21/13,874.85 = 5,578.05/x
3. Step 3: Cross multiply
   10,054.21x = 13,874.85 × 5,578.05
4. Step 4: Simplify right side
   10,054.21x = 77,394,607.04
5. Step 5: Solve for x
   x = 77,394,607.04/10,054.21
6. Step 6: Final answer
   x = 7,697.73