Finding the Fourth Proportional to 3,683.52, 5,080.50 and 2,564.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,683.52 : 5,080.50 = 2,564.52 : x
2. Step 2: Convert to fraction form
   3,683.52/5,080.50 = 2,564.52/x
3. Step 3: Cross multiply
   3,683.52x = 5,080.50 × 2,564.52
4. Step 4: Simplify right side
   3,683.52x = 13,029,043.86
5. Step 5: Solve for x
   x = 13,029,043.86/3,683.52
6. Step 6: Final answer
   x = 3,537.12