Finding the Fourth Proportional to 1,097.82, 1,645.65 and 609.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.82 : 1,645.65 = 609.86 : x
2. Step 2: Convert to fraction form
   1,097.82/1,645.65 = 609.86/x
3. Step 3: Cross multiply
   1,097.82x = 1,645.65 × 609.86
4. Step 4: Simplify right side
   1,097.82x = 1,003,620.22
5. Step 5: Solve for x
   x = 1,003,620.22/1,097.82
6. Step 6: Final answer
   x = 914.19