Finding the Fourth Proportional to 2,464.82, 3,698.14 and 1,165.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.82 : 3,698.14 = 1,165.38 : x
2. Step 2: Convert to fraction form
   2,464.82/3,698.14 = 1,165.38/x
3. Step 3: Cross multiply
   2,464.82x = 3,698.14 × 1,165.38
4. Step 4: Simplify right side
   2,464.82x = 4,309,738.39
5. Step 5: Solve for x
   x = 4,309,738.39/2,464.82
6. Step 6: Final answer
   x = 1,748.50