Finding the Fourth Proportional to 2,743.14, 3,785.31 and 1,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.14 : 3,785.31 = 1,564.50 : x
2. Step 2: Convert to fraction form
   2,743.14/3,785.31 = 1,564.50/x
3. Step 3: Cross multiply
   2,743.14x = 3,785.31 × 1,564.50
4. Step 4: Simplify right side
   2,743.14x = 5,922,117.50
5. Step 5: Solve for x
   x = 5,922,117.50/2,743.14
6. Step 6: Final answer
   x = 2,158.88