Finding the Fourth Proportional to 10,021.89, 13,827.39 and 5,771.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,021.89 : 13,827.39 = 5,771.42 : x
2. Step 2: Convert to fraction form
   10,021.89/13,827.39 = 5,771.42/x
3. Step 3: Cross multiply
   10,021.89x = 13,827.39 × 5,771.42
4. Step 4: Simplify right side
   10,021.89x = 79,803,606.06
5. Step 5: Solve for x
   x = 79,803,606.06/10,021.89
6. Step 6: Final answer
   x = 7,962.93