Finding the Fourth Proportional to 7,665.12, 10,578.72 and 5,020.20

Step by Step Solution

1. Step 1: Write the proportion equation
   7,665.12 : 10,578.72 = 5,020.20 : x
2. Step 2: Convert to fraction form
   7,665.12/10,578.72 = 5,020.20/x
3. Step 3: Cross multiply
   7,665.12x = 10,578.72 × 5,020.20
4. Step 4: Simplify right side
   7,665.12x = 53,107,290.14
5. Step 5: Solve for x
   x = 53,107,290.14/7,665.12
6. Step 6: Final answer
   x = 6,928.44