Finding the Fourth Proportional to 1,097.20, 1,644.89 and 854.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.20 : 1,644.89 = 854.81 : x
2. Step 2: Convert to fraction form
   1,097.20/1,644.89 = 854.81/x
3. Step 3: Cross multiply
   1,097.20x = 1,644.89 × 854.81
4. Step 4: Simplify right side
   1,097.20x = 1,406,055.92
5. Step 5: Solve for x
   x = 1,406,055.92/1,097.20
6. Step 6: Final answer
   x = 1,281.50