Finding the Fourth Proportional to 1,196.72, 1,795.24 and 466.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.72 : 1,795.24 = 466.52 : x
2. Step 2: Convert to fraction form
   1,196.72/1,795.24 = 466.52/x
3. Step 3: Cross multiply
   1,196.72x = 1,795.24 × 466.52
4. Step 4: Simplify right side
   1,196.72x = 837,515.36
5. Step 5: Solve for x
   x = 837,515.36/1,196.72
6. Step 6: Final answer
   x = 699.84