Finding the Fourth Proportional to 1,196.90, 1,796.02 and 466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.90 : 1,796.02 = 466.50 : x
2. Step 2: Convert to fraction form
   1,196.90/1,796.02 = 466.50/x
3. Step 3: Cross multiply
   1,196.90x = 1,796.02 × 466.50
4. Step 4: Simplify right side
   1,196.90x = 837,843.33
5. Step 5: Solve for x
   x = 837,843.33/1,196.90
6. Step 6: Final answer
   x = 700.01