Finding the Fourth Proportional to 10,054.32, 13,874.88 and 5,578.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.32 : 13,874.88 = 5,578.08 : x
2. Step 2: Convert to fraction form
   10,054.32/13,874.88 = 5,578.08/x
3. Step 3: Cross multiply
   10,054.32x = 13,874.88 × 5,578.08
4. Step 4: Simplify right side
   10,054.32x = 77,395,190.63
5. Step 5: Solve for x
   x = 77,395,190.63/10,054.32
6. Step 6: Final answer
   x = 7,697.71