Finding the Fourth Proportional to 3,359.32, 5,019.63 and 2,564.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,359.32 : 5,019.63 = 2,564.30 : x
2. Step 2: Convert to fraction form
   3,359.32/5,019.63 = 2,564.30/x
3. Step 3: Cross multiply
   3,359.32x = 5,019.63 × 2,564.30
4. Step 4: Simplify right side
   3,359.32x = 12,871,840.14
5. Step 5: Solve for x
   x = 12,871,840.14/3,359.32
6. Step 6: Final answer
   x = 3,831.68