Finding the Fourth Proportional to 10,054.62, 13,874.47 and 5,578.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.62 : 13,874.47 = 5,578.37 : x
2. Step 2: Convert to fraction form
   10,054.62/13,874.47 = 5,578.37/x
3. Step 3: Cross multiply
   10,054.62x = 13,874.47 × 5,578.37
4. Step 4: Simplify right side
   10,054.62x = 77,396,927.21
5. Step 5: Solve for x
   x = 77,396,927.21/10,054.62
6. Step 6: Final answer
   x = 7,697.65