Finding the Fourth Proportional to 2,192.81, 3,289.50 and 1,022.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,192.81 : 3,289.50 = 1,022.22 : x
2. Step 2: Convert to fraction form
   2,192.81/3,289.50 = 1,022.22/x
3. Step 3: Cross multiply
   2,192.81x = 3,289.50 × 1,022.22
4. Step 4: Simplify right side
   2,192.81x = 3,362,592.69
5. Step 5: Solve for x
   x = 3,362,592.69/2,192.81
6. Step 6: Final answer
   x = 1,533.47