Finding the Fourth Proportional to 2,514, 3,469.32 and 1,465.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514 : 3,469.32 = 1,465.86 : x
2. Step 2: Convert to fraction form
   2,514/3,469.32 = 1,465.86/x
3. Step 3: Cross multiply
   2,514x = 3,469.32 × 1,465.86
4. Step 4: Simplify right side
   2,514x = 5,085,537.42
5. Step 5: Solve for x
   x = 5,085,537.42/2,514
6. Step 6: Final answer
   x = 2,022.89