Finding the Fourth Proportional to 1,200.43, 1,796.15 and 854.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.43 : 1,796.15 = 854.56 : x
2. Step 2: Convert to fraction form
   1,200.43/1,796.15 = 854.56/x
3. Step 3: Cross multiply
   1,200.43x = 1,796.15 × 854.56
4. Step 4: Simplify right side
   1,200.43x = 1,534,917.94
5. Step 5: Solve for x
   x = 1,534,917.94/1,200.43
6. Step 6: Final answer
   x = 1,278.64