Finding the Fourth Proportional to 10,422.25, 14,382.75 and 5,706.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.25 : 14,382.75 = 5,706.61 : x
2. Step 2: Convert to fraction form
   10,422.25/14,382.75 = 5,706.61/x
3. Step 3: Cross multiply
   10,422.25x = 14,382.75 × 5,706.61
4. Step 4: Simplify right side
   10,422.25x = 82,076,744.98
5. Step 5: Solve for x
   x = 82,076,744.98/10,422.25
6. Step 6: Final answer
   x = 7,875.15