Finding the Fourth Proportional to 1,150.56, 1,578.21 and 1,140.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.56 : 1,578.21 = 1,140.68 : x
2. Step 2: Convert to fraction form
   1,150.56/1,578.21 = 1,140.68/x
3. Step 3: Cross multiply
   1,150.56x = 1,578.21 × 1,140.68
4. Step 4: Simplify right side
   1,150.56x = 1,800,224.69
5. Step 5: Solve for x
   x = 1,800,224.69/1,150.56
6. Step 6: Final answer
   x = 1,564.65