Finding the Fourth Proportional to 749.69, 1,034.72 and 500.82

Step by Step Solution

1. Step 1: Write the proportion equation
   749.69 : 1,034.72 = 500.82 : x
2. Step 2: Convert to fraction form
   749.69/1,034.72 = 500.82/x
3. Step 3: Cross multiply
   749.69x = 1,034.72 × 500.82
4. Step 4: Simplify right side
   749.69x = 518,206.78
5. Step 5: Solve for x
   x = 518,206.78/749.69
6. Step 6: Final answer
   x = 691.23