Finding the Fourth Proportional to 2,074.69, 3,111.99 and 514.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.69 : 3,111.99 = 514.65 : x
2. Step 2: Convert to fraction form
   2,074.69/3,111.99 = 514.65/x
3. Step 3: Cross multiply
   2,074.69x = 3,111.99 × 514.65
4. Step 4: Simplify right side
   2,074.69x = 1,601,599.74
5. Step 5: Solve for x
   x = 1,601,599.74/2,074.69
6. Step 6: Final answer
   x = 771.97