Finding the Fourth Proportional to 10,257.09, 14,154.68 and 5,782.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257.09 : 14,154.68 = 5,782.27 : x
2. Step 2: Convert to fraction form
   10,257.09/14,154.68 = 5,782.27/x
3. Step 3: Cross multiply
   10,257.09x = 14,154.68 × 5,782.27
4. Step 4: Simplify right side
   10,257.09x = 81,846,181.52
5. Step 5: Solve for x
   x = 81,846,181.52/10,257.09
6. Step 6: Final answer
   x = 7,979.47