Finding the Fourth Proportional to 1,456.67, 2,185.61 and 726.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.67 : 2,185.61 = 726.86 : x
2. Step 2: Convert to fraction form
   1,456.67/2,185.61 = 726.86/x
3. Step 3: Cross multiply
   1,456.67x = 2,185.61 × 726.86
4. Step 4: Simplify right side
   1,456.67x = 1,588,617.92
5. Step 5: Solve for x
   x = 1,588,617.92/1,456.67
6. Step 6: Final answer
   x = 1,090.59