Finding the Fourth Proportional to 2,604.16, 3,906.32 and 1,142.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,604.16 : 3,906.32 = 1,142.56 : x
2. Step 2: Convert to fraction form
   2,604.16/3,906.32 = 1,142.56/x
3. Step 3: Cross multiply
   2,604.16x = 3,906.32 × 1,142.56
4. Step 4: Simplify right side
   2,604.16x = 4,463,204.98
5. Step 5: Solve for x
   x = 4,463,204.98/2,604.16
6. Step 6: Final answer
   x = 1,713.88