Finding the Fourth Proportional to 1,606.99, 2,414.53 and 1,022.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,606.99 : 2,414.53 = 1,022.25 : x
2. Step 2: Convert to fraction form
   1,606.99/2,414.53 = 1,022.25/x
3. Step 3: Cross multiply
   1,606.99x = 2,414.53 × 1,022.25
4. Step 4: Simplify right side
   1,606.99x = 2,468,254.94
5. Step 5: Solve for x
   x = 2,468,254.94/1,606.99
6. Step 6: Final answer
   x = 1,535.95