Finding the Fourth Proportional to 1,196.66, 1,793.64 and 610.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.66 : 1,793.64 = 610.02 : x
2. Step 2: Convert to fraction form
   1,196.66/1,793.64 = 610.02/x
3. Step 3: Cross multiply
   1,196.66x = 1,793.64 × 610.02
4. Step 4: Simplify right side
   1,196.66x = 1,094,144.25
5. Step 5: Solve for x
   x = 1,094,144.25/1,196.66
6. Step 6: Final answer
   x = 914.33