Finding the Fourth Proportional to 2,651.76, 3,659.45 and 1,456.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,651.76 : 3,659.45 = 1,456.80 : x
2. Step 2: Convert to fraction form
   2,651.76/3,659.45 = 1,456.80/x
3. Step 3: Cross multiply
   2,651.76x = 3,659.45 × 1,456.80
4. Step 4: Simplify right side
   2,651.76x = 5,331,086.76
5. Step 5: Solve for x
   x = 5,331,086.76/2,651.76
6. Step 6: Final answer
   x = 2,010.40