Finding the Fourth Proportional to 1,198.43, 1,796.42 and 467.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,198.43 : 1,796.42 = 467.00 : x
2. Step 2: Convert to fraction form
   1,198.43/1,796.42 = 467.00/x
3. Step 3: Cross multiply
   1,198.43x = 1,796.42 × 467.00
4. Step 4: Simplify right side
   1,198.43x = 838,916.82
5. Step 5: Solve for x
   x = 838,916.82/1,198.43
6. Step 6: Final answer
   x = 700.02