Finding the Fourth Proportional to 10,161.57, 14,023.25 and 5,686.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,161.57 : 14,023.25 = 5,686.10 : x
2. Step 2: Convert to fraction form
   10,161.57/14,023.25 = 5,686.10/x
3. Step 3: Cross multiply
   10,161.57x = 14,023.25 × 5,686.10
4. Step 4: Simplify right side
   10,161.57x = 79,737,503.28
5. Step 5: Solve for x
   x = 79,737,503.28/10,161.57
6. Step 6: Final answer
   x = 7,846.97