Finding the Fourth Proportional to 10,164.96, 14,027.76 and 5,689.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164.96 : 14,027.76 = 5,689.14 : x
2. Step 2: Convert to fraction form
   10,164.96/14,027.76 = 5,689.14/x
3. Step 3: Cross multiply
   10,164.96x = 14,027.76 × 5,689.14
4. Step 4: Simplify right side
   10,164.96x = 79,805,890.53
5. Step 5: Solve for x
   x = 79,805,890.53/10,164.96
6. Step 6: Final answer
   x = 7,851.08