Finding the Fourth Proportional to 2,074.12, 3,111.17 and 514.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.12 : 3,111.17 = 514.09 : x
2. Step 2: Convert to fraction form
   2,074.12/3,111.17 = 514.09/x
3. Step 3: Cross multiply
   2,074.12x = 3,111.17 × 514.09
4. Step 4: Simplify right side
   2,074.12x = 1,599,421.39
5. Step 5: Solve for x
   x = 1,599,421.39/2,074.12
6. Step 6: Final answer
   x = 771.13