Finding the Fourth Proportional to 1,514.38, 2,099.53 and 1,460.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,514.38 : 2,099.53 = 1,460.92 : x
2. Step 2: Convert to fraction form
   1,514.38/2,099.53 = 1,460.92/x
3. Step 3: Cross multiply
   1,514.38x = 2,099.53 × 1,460.92
4. Step 4: Simplify right side
   1,514.38x = 3,067,245.37
5. Step 5: Solve for x
   x = 3,067,245.37/1,514.38
6. Step 6: Final answer
   x = 2,025.41