Finding the Fourth Proportional to 10,514.43, 14,500.11 and 7,677.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.43 : 14,500.11 = 7,677.30 : x
2. Step 2: Convert to fraction form
   10,514.43/14,500.11 = 7,677.30/x
3. Step 3: Cross multiply
   10,514.43x = 14,500.11 × 7,677.30
4. Step 4: Simplify right side
   10,514.43x = 111,321,694.50
5. Step 5: Solve for x
   x = 111,321,694.50/10,514.43
6. Step 6: Final answer
   x = 10,587.52