Finding the Fourth Proportional to 2,564.39, 3,846.59 and 616.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.39 : 3,846.59 = 616.59 : x
2. Step 2: Convert to fraction form
   2,564.39/3,846.59 = 616.59/x
3. Step 3: Cross multiply
   2,564.39x = 3,846.59 × 616.59
4. Step 4: Simplify right side
   2,564.39x = 2,371,765.85
5. Step 5: Solve for x
   x = 2,371,765.85/2,564.39
6. Step 6: Final answer
   x = 924.89