Finding the Fourth Proportional to 1,447.29, 1,997.33 and 817.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.29 : 1,997.33 = 817.86 : x
2. Step 2: Convert to fraction form
   1,447.29/1,997.33 = 817.86/x
3. Step 3: Cross multiply
   1,447.29x = 1,997.33 × 817.86
4. Step 4: Simplify right side
   1,447.29x = 1,633,532.22
5. Step 5: Solve for x
   x = 1,633,532.22/1,447.29
6. Step 6: Final answer
   x = 1,128.68