Finding the Fourth Proportional to 1,109.73, 1,663.88 and 589.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.73 : 1,663.88 = 589.40 : x
2. Step 2: Convert to fraction form
   1,109.73/1,663.88 = 589.40/x
3. Step 3: Cross multiply
   1,109.73x = 1,663.88 × 589.40
4. Step 4: Simplify right side
   1,109.73x = 980,679.61
5. Step 5: Solve for x
   x = 980,679.61/1,109.73
6. Step 6: Final answer
   x = 883.71