Finding the Fourth Proportional to 10,422.47, 14,382.83 and 5,706.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.47 : 14,382.83 = 5,706.65 : x
2. Step 2: Convert to fraction form
   10,422.47/14,382.83 = 5,706.65/x
3. Step 3: Cross multiply
   10,422.47x = 14,382.83 × 5,706.65
4. Step 4: Simplify right side
   10,422.47x = 82,077,676.37
5. Step 5: Solve for x
   x = 82,077,676.37/10,422.47
6. Step 6: Final answer
   x = 7,875.07