Finding the Fourth Proportional to 1,149.30, 1,722.56 and 498.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,149.30 : 1,722.56 = 498.69 : x
2. Step 2: Convert to fraction form
   1,149.30/1,722.56 = 498.69/x
3. Step 3: Cross multiply
   1,149.30x = 1,722.56 × 498.69
4. Step 4: Simplify right side
   1,149.30x = 859,020.95
5. Step 5: Solve for x
   x = 859,020.95/1,149.30
6. Step 6: Final answer
   x = 747.43