Finding the Fourth Proportional to 1,148.34, 1,721.06 and 498.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.34 : 1,721.06 = 498.30 : x
2. Step 2: Convert to fraction form
   1,148.34/1,721.06 = 498.30/x
3. Step 3: Cross multiply
   1,148.34x = 1,721.06 × 498.30
4. Step 4: Simplify right side
   1,148.34x = 857,604.20
5. Step 5: Solve for x
   x = 857,604.20/1,148.34
6. Step 6: Final answer
   x = 746.82