Finding the Fourth Proportional to 1,097.39, 1,644.46 and 609.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.39 : 1,644.46 = 609.77 : x
2. Step 2: Convert to fraction form
   1,097.39/1,644.46 = 609.77/x
3. Step 3: Cross multiply
   1,097.39x = 1,644.46 × 609.77
4. Step 4: Simplify right side
   1,097.39x = 1,002,742.37
5. Step 5: Solve for x
   x = 1,002,742.37/1,097.39
6. Step 6: Final answer
   x = 913.75