Finding the Fourth Proportional to 10,162.24, 14,023.95 and 5,686.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,162.24 : 14,023.95 = 5,686.00 : x
2. Step 2: Convert to fraction form
   10,162.24/14,023.95 = 5,686.00/x
3. Step 3: Cross multiply
   10,162.24x = 14,023.95 × 5,686.00
4. Step 4: Simplify right side
   10,162.24x = 79,740,214.76
5. Step 5: Solve for x
   x = 79,740,214.76/10,162.24
6. Step 6: Final answer
   x = 7,846.71