Finding the Fourth Proportional to 10,162.56, 14,023.68 and 5,686.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,162.56 : 14,023.68 = 5,686.08 : x
2. Step 2: Convert to fraction form
   10,162.56/14,023.68 = 5,686.08/x
3. Step 3: Cross multiply
   10,162.56x = 14,023.68 × 5,686.08
4. Step 4: Simplify right side
   10,162.56x = 79,739,766.37
5. Step 5: Solve for x
   x = 79,739,766.37/10,162.56
6. Step 6: Final answer
   x = 7,846.43