Finding the Fourth Proportional to 2,675.34, 3,692 and 1,496.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,675.34 : 3,692 = 1,496.43 : x
2. Step 2: Convert to fraction form
   2,675.34/3,692 = 1,496.43/x
3. Step 3: Cross multiply
   2,675.34x = 3,692 × 1,496.43
4. Step 4: Simplify right side
   2,675.34x = 5,524,819.56
5. Step 5: Solve for x
   x = 5,524,819.56/2,675.34
6. Step 6: Final answer
   x = 2,065.09