Finding the Fourth Proportional to 830.24, 1,145.61 and 498.59

Step by Step Solution

1. Step 1: Write the proportion equation
   830.24 : 1,145.61 = 498.59 : x
2. Step 2: Convert to fraction form
   830.24/1,145.61 = 498.59/x
3. Step 3: Cross multiply
   830.24x = 1,145.61 × 498.59
4. Step 4: Simplify right side
   830.24x = 571,189.69
5. Step 5: Solve for x
   x = 571,189.69/830.24
6. Step 6: Final answer
   x = 687.98