Finding the Fourth Proportional to 10,054.82, 13,875.77 and 5,578.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.82 : 13,875.77 = 5,578.69 : x
2. Step 2: Convert to fraction form
   10,054.82/13,875.77 = 5,578.69/x
3. Step 3: Cross multiply
   10,054.82x = 13,875.77 × 5,578.69
4. Step 4: Simplify right side
   10,054.82x = 77,408,619.34
5. Step 5: Solve for x
   x = 77,408,619.34/10,054.82
6. Step 6: Final answer
   x = 7,698.66