Finding the Fourth Proportional to 10,422, 14,382.34 and 5,706.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422 : 14,382.34 = 5,706.32 : x
2. Step 2: Convert to fraction form
   10,422/14,382.34 = 5,706.32/x
3. Step 3: Cross multiply
   10,422x = 14,382.34 × 5,706.32
4. Step 4: Simplify right side
   10,422x = 82,070,234.39
5. Step 5: Solve for x
   x = 82,070,234.39/10,422
6. Step 6: Final answer
   x = 7,874.71