Finding the Fourth Proportional to 2,309.50, 3,464.25 and 578.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,309.50 : 3,464.25 = 578.12 : x
2. Step 2: Convert to fraction form
   2,309.50/3,464.25 = 578.12/x
3. Step 3: Cross multiply
   2,309.50x = 3,464.25 × 578.12
4. Step 4: Simplify right side
   2,309.50x = 2,002,749.32
5. Step 5: Solve for x
   x = 2,002,749.32/2,309.50
6. Step 6: Final answer
   x = 867.18