Finding the Fourth Proportional to 10,422.26, 14,382.73 and 5,642.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.26 : 14,382.73 = 5,642.19 : x
2. Step 2: Convert to fraction form
   10,422.26/14,382.73 = 5,642.19/x
3. Step 3: Cross multiply
   10,422.26x = 14,382.73 × 5,642.19
4. Step 4: Simplify right side
   10,422.26x = 81,150,095.38
5. Step 5: Solve for x
   x = 81,150,095.38/10,422.26
6. Step 6: Final answer
   x = 7,786.23