Finding the Fourth Proportional to 2,530.24, 3,491.92 and 1,646.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,530.24 : 3,491.92 = 1,646.16 : x
2. Step 2: Convert to fraction form
   2,530.24/3,491.92 = 1,646.16/x
3. Step 3: Cross multiply
   2,530.24x = 3,491.92 × 1,646.16
4. Step 4: Simplify right side
   2,530.24x = 5,748,259.03
5. Step 5: Solve for x
   x = 5,748,259.03/2,530.24
6. Step 6: Final answer
   x = 2,271.82