Finding the Fourth Proportional to 10,264.01, 14,165.67 and 5,789.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.01 : 14,165.67 = 5,789.16 : x
2. Step 2: Convert to fraction form
   10,264.01/14,165.67 = 5,789.16/x
3. Step 3: Cross multiply
   10,264.01x = 14,165.67 × 5,789.16
4. Step 4: Simplify right side
   10,264.01x = 82,007,330.14
5. Step 5: Solve for x
   x = 82,007,330.14/10,264.01
6. Step 6: Final answer
   x = 7,989.80