Finding the Fourth Proportional to 1,109.21, 1,663.30 and 589.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.21 : 1,663.30 = 589.82 : x
2. Step 2: Convert to fraction form
   1,109.21/1,663.30 = 589.82/x
3. Step 3: Cross multiply
   1,109.21x = 1,663.30 × 589.82
4. Step 4: Simplify right side
   1,109.21x = 981,047.61
5. Step 5: Solve for x
   x = 981,047.61/1,109.21
6. Step 6: Final answer
   x = 884.46