Finding the Fourth Proportional to 1,082.15, 1,614.10 and 906.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.15 : 1,614.10 = 906.78 : x
2. Step 2: Convert to fraction form
   1,082.15/1,614.10 = 906.78/x
3. Step 3: Cross multiply
   1,082.15x = 1,614.10 × 906.78
4. Step 4: Simplify right side
   1,082.15x = 1,463,636.43
5. Step 5: Solve for x
   x = 1,463,636.43/1,082.15
6. Step 6: Final answer
   x = 1,352.53