Finding the Fourth Proportional to 2,743.49, 3,785.93 and 1,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.49 : 3,785.93 = 1,564.50 : x
2. Step 2: Convert to fraction form
   2,743.49/3,785.93 = 1,564.50/x
3. Step 3: Cross multiply
   2,743.49x = 3,785.93 × 1,564.50
4. Step 4: Simplify right side
   2,743.49x = 5,923,087.49
5. Step 5: Solve for x
   x = 5,923,087.49/2,743.49
6. Step 6: Final answer
   x = 2,158.96