Finding the Fourth Proportional to 10,164.59, 14,027.28 and 5,688.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164.59 : 14,027.28 = 5,688.53 : x
2. Step 2: Convert to fraction form
   10,164.59/14,027.28 = 5,688.53/x
3. Step 3: Cross multiply
   10,164.59x = 14,027.28 × 5,688.53
4. Step 4: Simplify right side
   10,164.59x = 79,794,603.10
5. Step 5: Solve for x
   x = 79,794,603.10/10,164.59
6. Step 6: Final answer
   x = 7,850.25