Finding the Fourth Proportional to 2,509.52, 3,462.68 and 1,446.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.52 : 3,462.68 = 1,446.86 : x
2. Step 2: Convert to fraction form
   2,509.52/3,462.68 = 1,446.86/x
3. Step 3: Cross multiply
   2,509.52x = 3,462.68 × 1,446.86
4. Step 4: Simplify right side
   2,509.52x = 5,010,025.46
5. Step 5: Solve for x
   x = 5,010,025.46/2,509.52
6. Step 6: Final answer
   x = 1,996.41