Finding the Fourth Proportional to 10,164.15, 14,025.15 and 5,688.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164.15 : 14,025.15 = 5,688.09 : x
2. Step 2: Convert to fraction form
   10,164.15/14,025.15 = 5,688.09/x
3. Step 3: Cross multiply
   10,164.15x = 14,025.15 × 5,688.09
4. Step 4: Simplify right side
   10,164.15x = 79,776,315.46
5. Step 5: Solve for x
   x = 79,776,315.46/10,164.15
6. Step 6: Final answer
   x = 7,848.79