Finding the Fourth Proportional to 1,447.15, 1,997.02 and 817.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.15 : 1,997.02 = 817.78 : x
2. Step 2: Convert to fraction form
   1,447.15/1,997.02 = 817.78/x
3. Step 3: Cross multiply
   1,447.15x = 1,997.02 × 817.78
4. Step 4: Simplify right side
   1,447.15x = 1,633,123.02
5. Step 5: Solve for x
   x = 1,633,123.02/1,447.15
6. Step 6: Final answer
   x = 1,128.51