Finding the Fourth Proportional to 3,624.57, 5,002.02 and 2,564.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,624.57 : 5,002.02 = 2,564.25 : x
2. Step 2: Convert to fraction form
   3,624.57/5,002.02 = 2,564.25/x
3. Step 3: Cross multiply
   3,624.57x = 5,002.02 × 2,564.25
4. Step 4: Simplify right side
   3,624.57x = 12,826,429.79
5. Step 5: Solve for x
   x = 12,826,429.79/3,624.57
6. Step 6: Final answer
   x = 3,538.75