Finding the Fourth Proportional to 1,447.06, 1,996.64 and 857.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.06 : 1,996.64 = 857.78 : x
2. Step 2: Convert to fraction form
   1,447.06/1,996.64 = 857.78/x
3. Step 3: Cross multiply
   1,447.06x = 1,996.64 × 857.78
4. Step 4: Simplify right side
   1,447.06x = 1,712,677.86
5. Step 5: Solve for x
   x = 1,712,677.86/1,447.06
6. Step 6: Final answer
   x = 1,183.56