Finding the Fourth Proportional to 2,542.69, 3,814.32 and 1,446.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,542.69 : 3,814.32 = 1,446.76 : x
2. Step 2: Convert to fraction form
   2,542.69/3,814.32 = 1,446.76/x
3. Step 3: Cross multiply
   2,542.69x = 3,814.32 × 1,446.76
4. Step 4: Simplify right side
   2,542.69x = 5,518,405.60
5. Step 5: Solve for x
   x = 5,518,405.60/2,542.69
6. Step 6: Final answer
   x = 2,170.30