Finding the Fourth Proportional to 7,564.29, 10,427.73 and 5,288.55

Step by Step Solution

1. Step 1: Write the proportion equation
   7,564.29 : 10,427.73 = 5,288.55 : x
2. Step 2: Convert to fraction form
   7,564.29/10,427.73 = 5,288.55/x
3. Step 3: Cross multiply
   7,564.29x = 10,427.73 × 5,288.55
4. Step 4: Simplify right side
   7,564.29x = 55,147,571.49
5. Step 5: Solve for x
   x = 55,147,571.49/7,564.29
6. Step 6: Final answer
   x = 7,290.52