Finding the Fourth Proportional to 10,161.86, 14,024.06 and 5,686.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,161.86 : 14,024.06 = 5,686.02 : x
2. Step 2: Convert to fraction form
   10,161.86/14,024.06 = 5,686.02/x
3. Step 3: Cross multiply
   10,161.86x = 14,024.06 × 5,686.02
4. Step 4: Simplify right side
   10,161.86x = 79,741,085.64
5. Step 5: Solve for x
   x = 79,741,085.64/10,161.86
6. Step 6: Final answer
   x = 7,847.10