Finding the Fourth Proportional to 2,683.38, 3,702.78 and 1,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,683.38 : 3,702.78 = 1,564.50 : x
2. Step 2: Convert to fraction form
   2,683.38/3,702.78 = 1,564.50/x
3. Step 3: Cross multiply
   2,683.38x = 3,702.78 × 1,564.50
4. Step 4: Simplify right side
   2,683.38x = 5,792,999.31
5. Step 5: Solve for x
   x = 5,792,999.31/2,683.38
6. Step 6: Final answer
   x = 2,158.84