Finding the Fourth Proportional to 1,196.83, 1,795.47 and 466.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.83 : 1,795.47 = 466.41 : x
2. Step 2: Convert to fraction form
   1,196.83/1,795.47 = 466.41/x
3. Step 3: Cross multiply
   1,196.83x = 1,795.47 × 466.41
4. Step 4: Simplify right side
   1,196.83x = 837,420.05
5. Step 5: Solve for x
   x = 837,420.05/1,196.83
6. Step 6: Final answer
   x = 699.70