Finding the Fourth Proportional to 10,322.48, 14,243.76 and 5,785.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,322.48 : 14,243.76 = 5,785.40 : x
2. Step 2: Convert to fraction form
   10,322.48/14,243.76 = 5,785.40/x
3. Step 3: Cross multiply
   10,322.48x = 14,243.76 × 5,785.40
4. Step 4: Simplify right side
   10,322.48x = 82,405,777.89
5. Step 5: Solve for x
   x = 82,405,777.89/10,322.48
6. Step 6: Final answer
   x = 7,983.14