Finding the Fourth Proportional to 10,422.62, 14,383.23 and 5,642.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.62 : 14,383.23 = 5,642.61 : x
2. Step 2: Convert to fraction form
   10,422.62/14,383.23 = 5,642.61/x
3. Step 3: Cross multiply
   10,422.62x = 14,383.23 × 5,642.61
4. Step 4: Simplify right side
   10,422.62x = 81,158,918.43
5. Step 5: Solve for x
   x = 81,158,918.43/10,422.62
6. Step 6: Final answer
   x = 7,786.80