Finding the Fourth Proportional to 10,401.94, 14,354.17 and 5,686.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.94 : 14,354.17 = 5,686.22 : x
2. Step 2: Convert to fraction form
   10,401.94/14,354.17 = 5,686.22/x
3. Step 3: Cross multiply
   10,401.94x = 14,354.17 × 5,686.22
4. Step 4: Simplify right side
   10,401.94x = 81,620,968.54
5. Step 5: Solve for x
   x = 81,620,968.54/10,401.94
6. Step 6: Final answer
   x = 7,846.71