Finding the Fourth Proportional to 2,743.34, 3,785.71 and 1,564.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.34 : 3,785.71 = 1,564.19 : x
2. Step 2: Convert to fraction form
   2,743.34/3,785.71 = 1,564.19/x
3. Step 3: Cross multiply
   2,743.34x = 3,785.71 × 1,564.19
4. Step 4: Simplify right side
   2,743.34x = 5,921,569.72
5. Step 5: Solve for x
   x = 5,921,569.72/2,743.34
6. Step 6: Final answer
   x = 2,158.53