Finding the Fourth Proportional to 1,166.69, 1,747.50 and 731.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.69 : 1,747.50 = 731.72 : x
2. Step 2: Convert to fraction form
   1,166.69/1,747.50 = 731.72/x
3. Step 3: Cross multiply
   1,166.69x = 1,747.50 × 731.72
4. Step 4: Simplify right side
   1,166.69x = 1,278,680.70
5. Step 5: Solve for x
   x = 1,278,680.70/1,166.69
6. Step 6: Final answer
   x = 1,095.99