Finding the Fourth Proportional to 10,162.29, 14,024.43 and 5,685.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,162.29 : 14,024.43 = 5,685.96 : x
2. Step 2: Convert to fraction form
   10,162.29/14,024.43 = 5,685.96/x
3. Step 3: Cross multiply
   10,162.29x = 14,024.43 × 5,685.96
4. Step 4: Simplify right side
   10,162.29x = 79,742,348.00
5. Step 5: Solve for x
   x = 79,742,348.00/10,162.29
6. Step 6: Final answer
   x = 7,846.89