Finding the Fourth Proportional to 2,459.86, 3,685.12 and 1,456.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,459.86 : 3,685.12 = 1,456.20 : x
2. Step 2: Convert to fraction form
   2,459.86/3,685.12 = 1,456.20/x
3. Step 3: Cross multiply
   2,459.86x = 3,685.12 × 1,456.20
4. Step 4: Simplify right side
   2,459.86x = 5,366,271.74
5. Step 5: Solve for x
   x = 5,366,271.74/2,459.86
6. Step 6: Final answer
   x = 2,181.54