Finding the Fourth Proportional to 1,147.82, 1,721.37 and 498.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.82 : 1,721.37 = 498.38 : x
2. Step 2: Convert to fraction form
   1,147.82/1,721.37 = 498.38/x
3. Step 3: Cross multiply
   1,147.82x = 1,721.37 × 498.38
4. Step 4: Simplify right side
   1,147.82x = 857,896.38
5. Step 5: Solve for x
   x = 857,896.38/1,147.82
6. Step 6: Final answer
   x = 747.41