Finding the Fourth Proportional to 2,743.94, 3,785.70 and 1,564.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.94 : 3,785.70 = 1,564.16 : x
2. Step 2: Convert to fraction form
   2,743.94/3,785.70 = 1,564.16/x
3. Step 3: Cross multiply
   2,743.94x = 3,785.70 × 1,564.16
4. Step 4: Simplify right side
   2,743.94x = 5,921,440.51
5. Step 5: Solve for x
   x = 5,921,440.51/2,743.94
6. Step 6: Final answer
   x = 2,158.01