Finding the Fourth Proportional to 1,147.50, 1,721.34 and 498.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.50 : 1,721.34 = 498.42 : x
2. Step 2: Convert to fraction form
   1,147.50/1,721.34 = 498.42/x
3. Step 3: Cross multiply
   1,147.50x = 1,721.34 × 498.42
4. Step 4: Simplify right side
   1,147.50x = 857,950.28
5. Step 5: Solve for x
   x = 857,950.28/1,147.50
6. Step 6: Final answer
   x = 747.67