Finding the Fourth Proportional to 2,509.76, 3,464.18 and 1,462.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.76 : 3,464.18 = 1,462.16 : x
2. Step 2: Convert to fraction form
   2,509.76/3,464.18 = 1,462.16/x
3. Step 3: Cross multiply
   2,509.76x = 3,464.18 × 1,462.16
4. Step 4: Simplify right side
   2,509.76x = 5,065,185.43
5. Step 5: Solve for x
   x = 5,065,185.43/2,509.76
6. Step 6: Final answer
   x = 2,018.20