Finding the Fourth Proportional to 10,162.10, 14,021.82 and 5,685.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,162.10 : 14,021.82 = 5,685.88 : x
2. Step 2: Convert to fraction form
   10,162.10/14,021.82 = 5,685.88/x
3. Step 3: Cross multiply
   10,162.10x = 14,021.82 × 5,685.88
4. Step 4: Simplify right side
   10,162.10x = 79,726,385.90
5. Step 5: Solve for x
   x = 79,726,385.90/10,162.10
6. Step 6: Final answer
   x = 7,845.46