Finding the Fourth Proportional to 10,264.64, 14,164.80 and 5,789.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.64 : 14,164.80 = 5,789.33 : x
2. Step 2: Convert to fraction form
   10,264.64/14,164.80 = 5,789.33/x
3. Step 3: Cross multiply
   10,264.64x = 14,164.80 × 5,789.33
4. Step 4: Simplify right side
   10,264.64x = 82,004,701.58
5. Step 5: Solve for x
   x = 82,004,701.58/10,264.64
6. Step 6: Final answer
   x = 7,989.05