Finding the Fourth Proportional to 1,608.16, 2,214.32 and 1,410.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.16 : 2,214.32 = 1,410.56 : x
2. Step 2: Convert to fraction form
   1,608.16/2,214.32 = 1,410.56/x
3. Step 3: Cross multiply
   1,608.16x = 2,214.32 × 1,410.56
4. Step 4: Simplify right side
   1,608.16x = 3,123,431.22
5. Step 5: Solve for x
   x = 3,123,431.22/1,608.16
6. Step 6: Final answer
   x = 1,942.24