Finding the Fourth Proportional to 2,256.12, 3,380.69 and 1,564.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.12 : 3,380.69 = 1,564.14 : x
2. Step 2: Convert to fraction form
   2,256.12/3,380.69 = 1,564.14/x
3. Step 3: Cross multiply
   2,256.12x = 3,380.69 × 1,564.14
4. Step 4: Simplify right side
   2,256.12x = 5,287,872.46
5. Step 5: Solve for x
   x = 5,287,872.46/2,256.12
6. Step 6: Final answer
   x = 2,343.79