Finding the Fourth Proportional to 2,114.69, 3,172.24 and 727.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,114.69 : 3,172.24 = 727.84 : x
2. Step 2: Convert to fraction form
   2,114.69/3,172.24 = 727.84/x
3. Step 3: Cross multiply
   2,114.69x = 3,172.24 × 727.84
4. Step 4: Simplify right side
   2,114.69x = 2,308,874.78
5. Step 5: Solve for x
   x = 2,308,874.78/2,114.69
6. Step 6: Final answer
   x = 1,091.83