Finding the Fourth Proportional to 10,161.98, 14,022.89 and 5,684.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,161.98 : 14,022.89 = 5,684.96 : x
2. Step 2: Convert to fraction form
   10,161.98/14,022.89 = 5,684.96/x
3. Step 3: Cross multiply
   10,161.98x = 14,022.89 × 5,684.96
4. Step 4: Simplify right side
   10,161.98x = 79,719,575.37
5. Step 5: Solve for x
   x = 79,719,575.37/10,161.98
6. Step 6: Final answer
   x = 7,844.88