Finding the Fourth Proportional to 10,422.77, 14,383.43 and 5,642.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.77 : 14,383.43 = 5,642.69 : x
2. Step 2: Convert to fraction form
   10,422.77/14,383.43 = 5,642.69/x
3. Step 3: Cross multiply
   10,422.77x = 14,383.43 × 5,642.69
4. Step 4: Simplify right side
   10,422.77x = 81,161,136.50
5. Step 5: Solve for x
   x = 81,161,136.50/10,422.77
6. Step 6: Final answer
   x = 7,786.91