Finding the Fourth Proportional to 2,114.78, 3,172.84 and 1,019.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,114.78 : 3,172.84 = 1,019.22 : x
2. Step 2: Convert to fraction form
   2,114.78/3,172.84 = 1,019.22/x
3. Step 3: Cross multiply
   2,114.78x = 3,172.84 × 1,019.22
4. Step 4: Simplify right side
   2,114.78x = 3,233,821.98
5. Step 5: Solve for x
   x = 3,233,821.98/2,114.78
6. Step 6: Final answer
   x = 1,529.15