Finding the Fourth Proportional to 2,564.30, 3,853.67 and 1,524.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.30 : 3,853.67 = 1,524.49 : x
2. Step 2: Convert to fraction form
   2,564.30/3,853.67 = 1,524.49/x
3. Step 3: Cross multiply
   2,564.30x = 3,853.67 × 1,524.49
4. Step 4: Simplify right side
   2,564.30x = 5,874,881.38
5. Step 5: Solve for x
   x = 5,874,881.38/2,564.30
6. Step 6: Final answer
   x = 2,291.03