Finding the Fourth Proportional to 10,514.29, 14,510.76 and 7,857.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.29 : 14,510.76 = 7,857.09 : x
2. Step 2: Convert to fraction form
   10,514.29/14,510.76 = 7,857.09/x
3. Step 3: Cross multiply
   10,514.29x = 14,510.76 × 7,857.09
4. Step 4: Simplify right side
   10,514.29x = 114,012,347.29
5. Step 5: Solve for x
   x = 114,012,347.29/10,514.29
6. Step 6: Final answer
   x = 10,843.56