Finding the Fourth Proportional to 3,796.88, 5,694.64 and 1,022.92

Step by Step Solution

1. Step 1: Write the proportion equation
   3,796.88 : 5,694.64 = 1,022.92 : x
2. Step 2: Convert to fraction form
   3,796.88/5,694.64 = 1,022.92/x
3. Step 3: Cross multiply
   3,796.88x = 5,694.64 × 1,022.92
4. Step 4: Simplify right side
   3,796.88x = 5,825,144.35
5. Step 5: Solve for x
   x = 5,825,144.35/3,796.88
6. Step 6: Final answer
   x = 1,534.19