Finding the Fourth Proportional to 2,509.32, 3,462.84 and 1,461.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.32 : 3,462.84 = 1,461.54 : x
2. Step 2: Convert to fraction form
   2,509.32/3,462.84 = 1,461.54/x
3. Step 3: Cross multiply
   2,509.32x = 3,462.84 × 1,461.54
4. Step 4: Simplify right side
   2,509.32x = 5,061,079.17
5. Step 5: Solve for x
   x = 5,061,079.17/2,509.32
6. Step 6: Final answer
   x = 2,016.91