Finding the Fourth Proportional to 10,422.56, 14,383.27 and 5,706.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.56 : 14,383.27 = 5,706.74 : x
2. Step 2: Convert to fraction form
   10,422.56/14,383.27 = 5,706.74/x
3. Step 3: Cross multiply
   10,422.56x = 14,383.27 × 5,706.74
4. Step 4: Simplify right side
   10,422.56x = 82,081,625.33
5. Step 5: Solve for x
   x = 82,081,625.33/10,422.56
6. Step 6: Final answer
   x = 7,875.38