Finding the Fourth Proportional to 10,754.64, 16,138.18 and 4,514.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,754.64 : 16,138.18 = 4,514.09 : x
2. Step 2: Convert to fraction form
   10,754.64/16,138.18 = 4,514.09/x
3. Step 3: Cross multiply
   10,754.64x = 16,138.18 × 4,514.09
4. Step 4: Simplify right side
   10,754.64x = 72,849,196.96
5. Step 5: Solve for x
   x = 72,849,196.96/10,754.64
6. Step 6: Final answer
   x = 6,773.75