Finding the Fourth Proportional to 2,460.72, 3,694.38 and 1,538.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,460.72 : 3,694.38 = 1,538.16 : x
2. Step 2: Convert to fraction form
   2,460.72/3,694.38 = 1,538.16/x
3. Step 3: Cross multiply
   2,460.72x = 3,694.38 × 1,538.16
4. Step 4: Simplify right side
   2,460.72x = 5,682,547.54
5. Step 5: Solve for x
   x = 5,682,547.54/2,460.72
6. Step 6: Final answer
   x = 2,309.30