Finding the Fourth Proportional to 10,422.27, 14,382.75 and 5,706.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.27 : 14,382.75 = 5,706.85 : x
2. Step 2: Convert to fraction form
   10,422.27/14,382.75 = 5,706.85/x
3. Step 3: Cross multiply
   10,422.27x = 14,382.75 × 5,706.85
4. Step 4: Simplify right side
   10,422.27x = 82,080,196.84
5. Step 5: Solve for x
   x = 82,080,196.84/10,422.27
6. Step 6: Final answer
   x = 7,875.46