Finding the Fourth Proportional to 1,323.89, 1,826.87 and 726.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.89 : 1,826.87 = 726.34 : x
2. Step 2: Convert to fraction form
   1,323.89/1,826.87 = 726.34/x
3. Step 3: Cross multiply
   1,323.89x = 1,826.87 × 726.34
4. Step 4: Simplify right side
   1,323.89x = 1,326,930.14
5. Step 5: Solve for x
   x = 1,326,930.14/1,323.89
6. Step 6: Final answer
   x = 1,002.29