Finding the Fourth Proportional to 2,743.41, 3,785.90 and 1,564.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.41 : 3,785.90 = 1,564.71 : x
2. Step 2: Convert to fraction form
   2,743.41/3,785.90 = 1,564.71/x
3. Step 3: Cross multiply
   2,743.41x = 3,785.90 × 1,564.71
4. Step 4: Simplify right side
   2,743.41x = 5,923,827.77
5. Step 5: Solve for x
   x = 5,923,827.77/2,743.41
6. Step 6: Final answer
   x = 2,159.29