Finding the Fourth Proportional to 1,564.48, 2,155.50 and 1,144.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.48 : 2,155.50 = 1,144.12 : x
2. Step 2: Convert to fraction form
   1,564.48/2,155.50 = 1,144.12/x
3. Step 3: Cross multiply
   1,564.48x = 2,155.50 × 1,144.12
4. Step 4: Simplify right side
   1,564.48x = 2,466,150.66
5. Step 5: Solve for x
   x = 2,466,150.66/1,564.48
6. Step 6: Final answer
   x = 1,576.34