Finding the Fourth Proportional to 2,114.77, 3,172.83 and 1,019.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,114.77 : 3,172.83 = 1,019.20 : x
2. Step 2: Convert to fraction form
   2,114.77/3,172.83 = 1,019.20/x
3. Step 3: Cross multiply
   2,114.77x = 3,172.83 × 1,019.20
4. Step 4: Simplify right side
   2,114.77x = 3,233,748.34
5. Step 5: Solve for x
   x = 3,233,748.34/2,114.77
6. Step 6: Final answer
   x = 1,529.13