Finding the Fourth Proportional to 2,742.72, 3,785.67 and 1,564.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.72 : 3,785.67 = 1,564.44 : x
2. Step 2: Convert to fraction form
   2,742.72/3,785.67 = 1,564.44/x
3. Step 3: Cross multiply
   2,742.72x = 3,785.67 × 1,564.44
4. Step 4: Simplify right side
   2,742.72x = 5,922,453.57
5. Step 5: Solve for x
   x = 5,922,453.57/2,742.72
6. Step 6: Final answer
   x = 2,159.34