Finding the Fourth Proportional to 10,265.34, 14,164.80 and 5,789.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.34 : 14,164.80 = 5,789.28 : x
2. Step 2: Convert to fraction form
   10,265.34/14,164.80 = 5,789.28/x
3. Step 3: Cross multiply
   10,265.34x = 14,164.80 × 5,789.28
4. Step 4: Simplify right side
   10,265.34x = 82,003,993.34
5. Step 5: Solve for x
   x = 82,003,993.34/10,265.34
6. Step 6: Final answer
   x = 7,988.43