Finding the Fourth Proportional to 2,683.15, 3,702.58 and 1,564.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,683.15 : 3,702.58 = 1,564.27 : x
2. Step 2: Convert to fraction form
   2,683.15/3,702.58 = 1,564.27/x
3. Step 3: Cross multiply
   2,683.15x = 3,702.58 × 1,564.27
4. Step 4: Simplify right side
   2,683.15x = 5,791,834.82
5. Step 5: Solve for x
   x = 5,791,834.82/2,683.15
6. Step 6: Final answer
   x = 2,158.60