Finding the Fourth Proportional to 2,514, 3,468.54 and 1,451.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514 : 3,468.54 = 1,451.64 : x
2. Step 2: Convert to fraction form
   2,514/3,468.54 = 1,451.64/x
3. Step 3: Cross multiply
   2,514x = 3,468.54 × 1,451.64
4. Step 4: Simplify right side
   2,514x = 5,035,071.41
5. Step 5: Solve for x
   x = 5,035,071.41/2,514
6. Step 6: Final answer
   x = 2,002.81