Finding the Fourth Proportional to 10,422.88, 14,383.92 and 5,707.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.88 : 14,383.92 = 5,707.34 : x
2. Step 2: Convert to fraction form
   10,422.88/14,383.92 = 5,707.34/x
3. Step 3: Cross multiply
   10,422.88x = 14,383.92 × 5,707.34
4. Step 4: Simplify right side
   10,422.88x = 82,093,921.97
5. Step 5: Solve for x
   x = 82,093,921.97/10,422.88
6. Step 6: Final answer
   x = 7,876.32