Finding the Fourth Proportional to 2,074.58, 3,111.75 and 514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.58 : 3,111.75 = 514.50 : x
2. Step 2: Convert to fraction form
   2,074.58/3,111.75 = 514.50/x
3. Step 3: Cross multiply
   2,074.58x = 3,111.75 × 514.50
4. Step 4: Simplify right side
   2,074.58x = 1,600,995.38
5. Step 5: Solve for x
   x = 1,600,995.38/2,074.58
6. Step 6: Final answer
   x = 771.72