Finding the Fourth Proportional to 10,422.24, 14,382.74 and 5,706.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.24 : 14,382.74 = 5,706.96 : x
2. Step 2: Convert to fraction form
   10,422.24/14,382.74 = 5,706.96/x
3. Step 3: Cross multiply
   10,422.24x = 14,382.74 × 5,706.96
4. Step 4: Simplify right side
   10,422.24x = 82,081,721.87
5. Step 5: Solve for x
   x = 82,081,721.87/10,422.24
6. Step 6: Final answer
   x = 7,875.63