Finding the Fourth Proportional to 1,109.16, 1,662.32 and 589.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.16 : 1,662.32 = 589.41 : x
2. Step 2: Convert to fraction form
   1,109.16/1,662.32 = 589.41/x
3. Step 3: Cross multiply
   1,109.16x = 1,662.32 × 589.41
4. Step 4: Simplify right side
   1,109.16x = 979,788.41
5. Step 5: Solve for x
   x = 979,788.41/1,109.16
6. Step 6: Final answer
   x = 883.36