Finding the Fourth Proportional to 2,114.80, 3,171.30 and 1,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,114.80 : 3,171.30 = 1,019.50 : x
2. Step 2: Convert to fraction form
   2,114.80/3,171.30 = 1,019.50/x
3. Step 3: Cross multiply
   2,114.80x = 3,171.30 × 1,019.50
4. Step 4: Simplify right side
   2,114.80x = 3,233,140.35
5. Step 5: Solve for x
   x = 3,233,140.35/2,114.80
6. Step 6: Final answer
   x = 1,528.82