Finding the Fourth Proportional to 2,509.02, 3,462.89 and 1,461.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.02 : 3,462.89 = 1,461.06 : x
2. Step 2: Convert to fraction form
   2,509.02/3,462.89 = 1,461.06/x
3. Step 3: Cross multiply
   2,509.02x = 3,462.89 × 1,461.06
4. Step 4: Simplify right side
   2,509.02x = 5,059,482.76
5. Step 5: Solve for x
   x = 5,059,482.76/2,509.02
6. Step 6: Final answer
   x = 2,016.52