Finding the Fourth Proportional to 2,514.35, 3,470.46 and 1,466.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514.35 : 3,470.46 = 1,466.57 : x
2. Step 2: Convert to fraction form
   2,514.35/3,470.46 = 1,466.57/x
3. Step 3: Cross multiply
   2,514.35x = 3,470.46 × 1,466.57
4. Step 4: Simplify right side
   2,514.35x = 5,089,672.52
5. Step 5: Solve for x
   x = 5,089,672.52/2,514.35
6. Step 6: Final answer
   x = 2,024.25