Finding the Fourth Proportional to 10,164.99, 14,027.72 and 5,688.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164.99 : 14,027.72 = 5,688.45 : x
2. Step 2: Convert to fraction form
   10,164.99/14,027.72 = 5,688.45/x
3. Step 3: Cross multiply
   10,164.99x = 14,027.72 × 5,688.45
4. Step 4: Simplify right side
   10,164.99x = 79,795,955.39
5. Step 5: Solve for x
   x = 79,795,955.39/10,164.99
6. Step 6: Final answer
   x = 7,850.08