Finding the Fourth Proportional to 10,265.21, 14,164.16 and 5,789.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.21 : 14,164.16 = 5,789.15 : x
2. Step 2: Convert to fraction form
   10,265.21/14,164.16 = 5,789.15/x
3. Step 3: Cross multiply
   10,265.21x = 14,164.16 × 5,789.15
4. Step 4: Simplify right side
   10,265.21x = 81,998,446.86
5. Step 5: Solve for x
   x = 81,998,446.86/10,265.21
6. Step 6: Final answer
   x = 7,988.00