Finding the Fourth Proportional to 10,422.81, 14,383.71 and 5,707.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.81 : 14,383.71 = 5,707.26 : x
2. Step 2: Convert to fraction form
   10,422.81/14,383.71 = 5,707.26/x
3. Step 3: Cross multiply
   10,422.81x = 14,383.71 × 5,707.26
4. Step 4: Simplify right side
   10,422.81x = 82,091,572.73
5. Step 5: Solve for x
   x = 82,091,572.73/10,422.81
6. Step 6: Final answer
   x = 7,876.15