Finding the Fourth Proportional to 1,200.68, 1,796.53 and 854.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.68 : 1,796.53 = 854.81 : x
2. Step 2: Convert to fraction form
   1,200.68/1,796.53 = 854.81/x
3. Step 3: Cross multiply
   1,200.68x = 1,796.53 × 854.81
4. Step 4: Simplify right side
   1,200.68x = 1,535,687.54
5. Step 5: Solve for x
   x = 1,535,687.54/1,200.68
6. Step 6: Final answer
   x = 1,279.01