Finding the Fourth Proportional to 1,109.76, 1,531.33 and 689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.76 : 1,531.33 = 689.50 : x
2. Step 2: Convert to fraction form
   1,109.76/1,531.33 = 689.50/x
3. Step 3: Cross multiply
   1,109.76x = 1,531.33 × 689.50
4. Step 4: Simplify right side
   1,109.76x = 1,055,852.04
5. Step 5: Solve for x
   x = 1,055,852.04/1,109.76
6. Step 6: Final answer
   x = 951.42