Finding the Fourth Proportional to 10,514.89, 14,511.57 and 7,857.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.89 : 14,511.57 = 7,857.70 : x
2. Step 2: Convert to fraction form
   10,514.89/14,511.57 = 7,857.70/x
3. Step 3: Cross multiply
   10,514.89x = 14,511.57 × 7,857.70
4. Step 4: Simplify right side
   10,514.89x = 114,027,563.59
5. Step 5: Solve for x
   x = 114,027,563.59/10,514.89
6. Step 6: Final answer
   x = 10,844.39