Finding the Fourth Proportional to 1,196.37, 1,795.03 and 466.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.37 : 1,795.03 = 466.16 : x
2. Step 2: Convert to fraction form
   1,196.37/1,795.03 = 466.16/x
3. Step 3: Cross multiply
   1,196.37x = 1,795.03 × 466.16
4. Step 4: Simplify right side
   1,196.37x = 836,761.04
5. Step 5: Solve for x
   x = 836,761.04/1,196.37
6. Step 6: Final answer
   x = 699.42