Finding the Fourth Proportional to 10,054.29, 13,874.26 and 5,578.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.29 : 13,874.26 = 5,578.03 : x
2. Step 2: Convert to fraction form
   10,054.29/13,874.26 = 5,578.03/x
3. Step 3: Cross multiply
   10,054.29x = 13,874.26 × 5,578.03
4. Step 4: Simplify right side
   10,054.29x = 77,391,038.51
5. Step 5: Solve for x
   x = 77,391,038.51/10,054.29
6. Step 6: Final answer
   x = 7,697.32