Finding the Fourth Proportional to 1,109.94, 1,663.71 and 589.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.94 : 1,663.71 = 589.64 : x
2. Step 2: Convert to fraction form
   1,109.94/1,663.71 = 589.64/x
3. Step 3: Cross multiply
   1,109.94x = 1,663.71 × 589.64
4. Step 4: Simplify right side
   1,109.94x = 980,981.65
5. Step 5: Solve for x
   x = 980,981.65/1,109.94
6. Step 6: Final answer
   x = 883.82