Finding the Fourth Proportional to 3,684.78, 5,083.98 and 2,564.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.78 : 5,083.98 = 2,564.46 : x
2. Step 2: Convert to fraction form
   3,684.78/5,083.98 = 2,564.46/x
3. Step 3: Cross multiply
   3,684.78x = 5,083.98 × 2,564.46
4. Step 4: Simplify right side
   3,684.78x = 13,037,663.35
5. Step 5: Solve for x
   x = 13,037,663.35/3,684.78
6. Step 6: Final answer
   x = 3,538.25