Finding the Fourth Proportional to 3,685.52, 5,077.37 and 2,564.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.52 : 5,077.37 = 2,564.53 : x
2. Step 2: Convert to fraction form
   3,685.52/5,077.37 = 2,564.53/x
3. Step 3: Cross multiply
   3,685.52x = 5,077.37 × 2,564.53
4. Step 4: Simplify right side
   3,685.52x = 13,021,067.69
5. Step 5: Solve for x
   x = 13,021,067.69/3,685.52
6. Step 6: Final answer
   x = 3,533.03