Finding the Fourth Proportional to 10,422.74, 14,383.43 and 5,707.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.74 : 14,383.43 = 5,707.46 : x
2. Step 2: Convert to fraction form
   10,422.74/14,383.43 = 5,707.46/x
3. Step 3: Cross multiply
   10,422.74x = 14,383.43 × 5,707.46
4. Step 4: Simplify right side
   10,422.74x = 82,092,851.39
5. Step 5: Solve for x
   x = 82,092,851.39/10,422.74
6. Step 6: Final answer
   x = 7,876.32