Finding the Fourth Proportional to 1,109.43, 1,530.50 and 689.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.43 : 1,530.50 = 689.85 : x
2. Step 2: Convert to fraction form
   1,109.43/1,530.50 = 689.85/x
3. Step 3: Cross multiply
   1,109.43x = 1,530.50 × 689.85
4. Step 4: Simplify right side
   1,109.43x = 1,055,811.98
5. Step 5: Solve for x
   x = 1,055,811.98/1,109.43
6. Step 6: Final answer
   x = 951.67