Finding the Fourth Proportional to 10,322.51, 14,244.12 and 5,785.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,322.51 : 14,244.12 = 5,785.09 : x
2. Step 2: Convert to fraction form
   10,322.51/14,244.12 = 5,785.09/x
3. Step 3: Cross multiply
   10,322.51x = 14,244.12 × 5,785.09
4. Step 4: Simplify right side
   10,322.51x = 82,403,480.56
5. Step 5: Solve for x
   x = 82,403,480.56/10,322.51
6. Step 6: Final answer
   x = 7,982.90