Finding the Fourth Proportional to 10,422.96, 14,383.22 and 5,707.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.96 : 14,383.22 = 5,707.14 : x
2. Step 2: Convert to fraction form
   10,422.96/14,383.22 = 5,707.14/x
3. Step 3: Cross multiply
   10,422.96x = 14,383.22 × 5,707.14
4. Step 4: Simplify right side
   10,422.96x = 82,087,021.66
5. Step 5: Solve for x
   x = 82,087,021.66/10,422.96
6. Step 6: Final answer
   x = 7,875.60