Finding the Fourth Proportional to 1,141.56, 1,578.42 and 1,089

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.56 : 1,578.42 = 1,089 : x
2. Step 2: Convert to fraction form
   1,141.56/1,578.42 = 1,089/x
3. Step 3: Cross multiply
   1,141.56x = 1,578.42 × 1,089
4. Step 4: Simplify right side
   1,141.56x = 1,718,899.38
5. Step 5: Solve for x
   x = 1,718,899.38/1,141.56
6. Step 6: Final answer
   x = 1,505.75