Finding the Fourth Proportional to 10,160.25, 14,020.76 and 5,684.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,160.25 : 14,020.76 = 5,684.42 : x
2. Step 2: Convert to fraction form
   10,160.25/14,020.76 = 5,684.42/x
3. Step 3: Cross multiply
   10,160.25x = 14,020.76 × 5,684.42
4. Step 4: Simplify right side
   10,160.25x = 79,699,790.03
5. Step 5: Solve for x
   x = 79,699,790.03/10,160.25
6. Step 6: Final answer
   x = 7,844.27