Finding the Fourth Proportional to 2,509, 3,462.82 and 1,461.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509 : 3,462.82 = 1,461.64 : x
2. Step 2: Convert to fraction form
   2,509/3,462.82 = 1,461.64/x
3. Step 3: Cross multiply
   2,509x = 3,462.82 × 1,461.64
4. Step 4: Simplify right side
   2,509x = 5,061,396.22
5. Step 5: Solve for x
   x = 5,061,396.22/2,509
6. Step 6: Final answer
   x = 2,017.30