Finding the Fourth Proportional to 2,683.25, 3,702.74 and 1,564.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,683.25 : 3,702.74 = 1,564.37 : x
2. Step 2: Convert to fraction form
   2,683.25/3,702.74 = 1,564.37/x
3. Step 3: Cross multiply
   2,683.25x = 3,702.74 × 1,564.37
4. Step 4: Simplify right side
   2,683.25x = 5,792,429.04
5. Step 5: Solve for x
   x = 5,792,429.04/2,683.25
6. Step 6: Final answer
   x = 2,158.74