Finding the Fourth Proportional to 2,683, 3,702.55 and 1,564.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,683 : 3,702.55 = 1,564.71 : x
2. Step 2: Convert to fraction form
   2,683/3,702.55 = 1,564.71/x
3. Step 3: Cross multiply
   2,683x = 3,702.55 × 1,564.71
4. Step 4: Simplify right side
   2,683x = 5,793,417.01
5. Step 5: Solve for x
   x = 5,793,417.01/2,683
6. Step 6: Final answer
   x = 2,159.31