Finding the Fourth Proportional to 1,822.09, 2,732.71 and 726.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.09 : 2,732.71 = 726.16 : x
2. Step 2: Convert to fraction form
   1,822.09/2,732.71 = 726.16/x
3. Step 3: Cross multiply
   1,822.09x = 2,732.71 × 726.16
4. Step 4: Simplify right side
   1,822.09x = 1,984,384.69
5. Step 5: Solve for x
   x = 1,984,384.69/1,822.09
6. Step 6: Final answer
   x = 1,089.07