Finding the Fourth Proportional to 1,564.74, 2,160.15 and 1,144.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.74 : 2,160.15 = 1,144.62 : x
2. Step 2: Convert to fraction form
   1,564.74/2,160.15 = 1,144.62/x
3. Step 3: Cross multiply
   1,564.74x = 2,160.15 × 1,144.62
4. Step 4: Simplify right side
   1,564.74x = 2,472,550.89
5. Step 5: Solve for x
   x = 2,472,550.89/1,564.74
6. Step 6: Final answer
   x = 1,580.17