Finding the Fourth Proportional to 2,505, 3,456.90 and 1,456.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505 : 3,456.90 = 1,456.86 : x
2. Step 2: Convert to fraction form
   2,505/3,456.90 = 1,456.86/x
3. Step 3: Cross multiply
   2,505x = 3,456.90 × 1,456.86
4. Step 4: Simplify right side
   2,505x = 5,036,219.33
5. Step 5: Solve for x
   x = 5,036,219.33/2,505
6. Step 6: Final answer
   x = 2,010.47