Finding the Fourth Proportional to 1,109.57, 1,665.39 and 590.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.57 : 1,665.39 = 590.18 : x
2. Step 2: Convert to fraction form
   1,109.57/1,665.39 = 590.18/x
3. Step 3: Cross multiply
   1,109.57x = 1,665.39 × 590.18
4. Step 4: Simplify right side
   1,109.57x = 982,879.87
5. Step 5: Solve for x
   x = 982,879.87/1,109.57
6. Step 6: Final answer
   x = 885.82