Finding the Fourth Proportional to 2,509.52, 3,463.56 and 1,462.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.52 : 3,463.56 = 1,462.16 : x
2. Step 2: Convert to fraction form
   2,509.52/3,463.56 = 1,462.16/x
3. Step 3: Cross multiply
   2,509.52x = 3,463.56 × 1,462.16
4. Step 4: Simplify right side
   2,509.52x = 5,064,278.89
5. Step 5: Solve for x
   x = 5,064,278.89/2,509.52
6. Step 6: Final answer
   x = 2,018.03