Finding the Fourth Proportional to 2,743.84, 3,785.94 and 1,564.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.84 : 3,785.94 = 1,564.60 : x
2. Step 2: Convert to fraction form
   2,743.84/3,785.94 = 1,564.60/x
3. Step 3: Cross multiply
   2,743.84x = 3,785.94 × 1,564.60
4. Step 4: Simplify right side
   2,743.84x = 5,923,481.72
5. Step 5: Solve for x
   x = 5,923,481.72/2,743.84
6. Step 6: Final answer
   x = 2,158.83