Finding the Fourth Proportional to 1,198.24, 1,796.56 and 467.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,198.24 : 1,796.56 = 467.89 : x
2. Step 2: Convert to fraction form
   1,198.24/1,796.56 = 467.89/x
3. Step 3: Cross multiply
   1,198.24x = 1,796.56 × 467.89
4. Step 4: Simplify right side
   1,198.24x = 840,592.46
5. Step 5: Solve for x
   x = 840,592.46/1,198.24
6. Step 6: Final answer
   x = 701.52