Finding the Fourth Proportional to 10,054.32, 13,875.08 and 5,578.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.32 : 13,875.08 = 5,578.20 : x
2. Step 2: Convert to fraction form
   10,054.32/13,875.08 = 5,578.20/x
3. Step 3: Cross multiply
   10,054.32x = 13,875.08 × 5,578.20
4. Step 4: Simplify right side
   10,054.32x = 77,397,943.37
5. Step 5: Solve for x
   x = 77,397,943.37/10,054.32
6. Step 6: Final answer
   x = 7,697.98