Finding the Fourth Proportional to 2,463.69, 3,694.41 and 1,537.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,463.69 : 3,694.41 = 1,537.86 : x
2. Step 2: Convert to fraction form
   2,463.69/3,694.41 = 1,537.86/x
3. Step 3: Cross multiply
   2,463.69x = 3,694.41 × 1,537.86
4. Step 4: Simplify right side
   2,463.69x = 5,681,485.36
5. Step 5: Solve for x
   x = 5,681,485.36/2,463.69
6. Step 6: Final answer
   x = 2,306.09