Finding the Fourth Proportional to 1,109.72, 1,664.82 and 699.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.72 : 1,664.82 = 699.40 : x
2. Step 2: Convert to fraction form
   1,109.72/1,664.82 = 699.40/x
3. Step 3: Cross multiply
   1,109.72x = 1,664.82 × 699.40
4. Step 4: Simplify right side
   1,109.72x = 1,164,375.11
5. Step 5: Solve for x
   x = 1,164,375.11/1,109.72
6. Step 6: Final answer
   x = 1,049.25