Finding the Fourth Proportional to 10,450.91, 14,422.37 and 5,735.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,450.91 : 14,422.37 = 5,735.09 : x
2. Step 2: Convert to fraction form
   10,450.91/14,422.37 = 5,735.09/x
3. Step 3: Cross multiply
   10,450.91x = 14,422.37 × 5,735.09
4. Step 4: Simplify right side
   10,450.91x = 82,713,489.18
5. Step 5: Solve for x
   x = 82,713,489.18/10,450.91
6. Step 6: Final answer
   x = 7,914.48