Finding the Fourth Proportional to 10,422.92, 14,383.38 and 5,707.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.92 : 14,383.38 = 5,707.40 : x
2. Step 2: Convert to fraction form
   10,422.92/14,383.38 = 5,707.40/x
3. Step 3: Cross multiply
   10,422.92x = 14,383.38 × 5,707.40
4. Step 4: Simplify right side
   10,422.92x = 82,091,703.01
5. Step 5: Solve for x
   x = 82,091,703.01/10,422.92
6. Step 6: Final answer
   x = 7,876.08