Finding the Fourth Proportional to 1,074.82, 1,610.61 and 497.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,074.82 : 1,610.61 = 497.02 : x
2. Step 2: Convert to fraction form
   1,074.82/1,610.61 = 497.02/x
3. Step 3: Cross multiply
   1,074.82x = 1,610.61 × 497.02
4. Step 4: Simplify right side
   1,074.82x = 800,505.38
5. Step 5: Solve for x
   x = 800,505.38/1,074.82
6. Step 6: Final answer
   x = 744.78