Finding the Fourth Proportional to 1,109.69, 1,665.04 and 589.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.69 : 1,665.04 = 589.57 : x
2. Step 2: Convert to fraction form
   1,109.69/1,665.04 = 589.57/x
3. Step 3: Cross multiply
   1,109.69x = 1,665.04 × 589.57
4. Step 4: Simplify right side
   1,109.69x = 981,652.96
5. Step 5: Solve for x
   x = 981,652.96/1,109.69
6. Step 6: Final answer
   x = 884.62