Finding the Fourth Proportional to 10,589.29, 14,606.86 and 7,004.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,589.29 : 14,606.86 = 7,004.33 : x
2. Step 2: Convert to fraction form
   10,589.29/14,606.86 = 7,004.33/x
3. Step 3: Cross multiply
   10,589.29x = 14,606.86 × 7,004.33
4. Step 4: Simplify right side
   10,589.29x = 102,311,267.70
5. Step 5: Solve for x
   x = 102,311,267.70/10,589.29
6. Step 6: Final answer
   x = 9,661.77