Finding the Fourth Proportional to 2,074.06, 3,111.10 and 514.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.06 : 3,111.10 = 514.10 : x
2. Step 2: Convert to fraction form
   2,074.06/3,111.10 = 514.10/x
3. Step 3: Cross multiply
   2,074.06x = 3,111.10 × 514.10
4. Step 4: Simplify right side
   2,074.06x = 1,599,416.51
5. Step 5: Solve for x
   x = 1,599,416.51/2,074.06
6. Step 6: Final answer
   x = 771.15