Finding the Fourth Proportional to 2,463.78, 3,697.29 and 1,165.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,463.78 : 3,697.29 = 1,165.38 : x
2. Step 2: Convert to fraction form
   2,463.78/3,697.29 = 1,165.38/x
3. Step 3: Cross multiply
   2,463.78x = 3,697.29 × 1,165.38
4. Step 4: Simplify right side
   2,463.78x = 4,308,747.82
5. Step 5: Solve for x
   x = 4,308,747.82/2,463.78
6. Step 6: Final answer
   x = 1,748.84