Finding the Fourth Proportional to 2,049.69, 3,074.52 and 510.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.69 : 3,074.52 = 510.69 : x
2. Step 2: Convert to fraction form
   2,049.69/3,074.52 = 510.69/x
3. Step 3: Cross multiply
   2,049.69x = 3,074.52 × 510.69
4. Step 4: Simplify right side
   2,049.69x = 1,570,126.62
5. Step 5: Solve for x
   x = 1,570,126.62/2,049.69
6. Step 6: Final answer
   x = 766.03