Finding the Fourth Proportional to 10,422.74, 14,383.22 and 5,707

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.74 : 14,383.22 = 5,707 : x
2. Step 2: Convert to fraction form
   10,422.74/14,383.22 = 5,707/x
3. Step 3: Cross multiply
   10,422.74x = 14,383.22 × 5,707
4. Step 4: Simplify right side
   10,422.74x = 82,085,036.54
5. Step 5: Solve for x
   x = 82,085,036.54/10,422.74
6. Step 6: Final answer
   x = 7,875.57