Finding the Fourth Proportional to 2,509.21, 3,462.74 and 1,461.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.21 : 3,462.74 = 1,461.25 : x
2. Step 2: Convert to fraction form
   2,509.21/3,462.74 = 1,461.25/x
3. Step 3: Cross multiply
   2,509.21x = 3,462.74 × 1,461.25
4. Step 4: Simplify right side
   2,509.21x = 5,059,928.83
5. Step 5: Solve for x
   x = 5,059,928.83/2,509.21
6. Step 6: Final answer
   x = 2,016.54