Finding the Fourth Proportional to 10,160.52, 14,021.46 and 5,684.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,160.52 : 14,021.46 = 5,684.34 : x
2. Step 2: Convert to fraction form
   10,160.52/14,021.46 = 5,684.34/x
3. Step 3: Cross multiply
   10,160.52x = 14,021.46 × 5,684.34
4. Step 4: Simplify right side
   10,160.52x = 79,702,745.94
5. Step 5: Solve for x
   x = 79,702,745.94/10,160.52
6. Step 6: Final answer
   x = 7,844.36