Finding the Fourth Proportional to 1,196.64, 1,794.15 and 610.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.64 : 1,794.15 = 610.20 : x
2. Step 2: Convert to fraction form
   1,196.64/1,794.15 = 610.20/x
3. Step 3: Cross multiply
   1,196.64x = 1,794.15 × 610.20
4. Step 4: Simplify right side
   1,196.64x = 1,094,790.33
5. Step 5: Solve for x
   x = 1,094,790.33/1,196.64
6. Step 6: Final answer
   x = 914.89