Finding the Fourth Proportional to 10,422.57, 14,383.11 and 5,706.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.57 : 14,383.11 = 5,706.82 : x
2. Step 2: Convert to fraction form
   10,422.57/14,383.11 = 5,706.82/x
3. Step 3: Cross multiply
   10,422.57x = 14,383.11 × 5,706.82
4. Step 4: Simplify right side
   10,422.57x = 82,081,819.81
5. Step 5: Solve for x
   x = 82,081,819.81/10,422.57
6. Step 6: Final answer
   x = 7,875.39