Finding the Fourth Proportional to 2,742.94, 3,785.29 and 1,564.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.94 : 3,785.29 = 1,564.12 : x
2. Step 2: Convert to fraction form
   2,742.94/3,785.29 = 1,564.12/x
3. Step 3: Cross multiply
   2,742.94x = 3,785.29 × 1,564.12
4. Step 4: Simplify right side
   2,742.94x = 5,920,647.79
5. Step 5: Solve for x
   x = 5,920,647.79/2,742.94
6. Step 6: Final answer
   x = 2,158.50