Finding the Fourth Proportional to 2,562.64, 3,536.67 and 1,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.64 : 3,536.67 = 1,514.50 : x
2. Step 2: Convert to fraction form
   2,562.64/3,536.67 = 1,514.50/x
3. Step 3: Cross multiply
   2,562.64x = 3,536.67 × 1,514.50
4. Step 4: Simplify right side
   2,562.64x = 5,356,286.72
5. Step 5: Solve for x
   x = 5,356,286.72/2,562.64
6. Step 6: Final answer
   x = 2,090.14