Finding the Fourth Proportional to 11,446.33, 17,164.20 and 5,206.09

Step by Step Solution

1. Step 1: Write the proportion equation
   11,446.33 : 17,164.20 = 5,206.09 : x
2. Step 2: Convert to fraction form
   11,446.33/17,164.20 = 5,206.09/x
3. Step 3: Cross multiply
   11,446.33x = 17,164.20 × 5,206.09
4. Step 4: Simplify right side
   11,446.33x = 89,358,284.16
5. Step 5: Solve for x
   x = 89,358,284.16/11,446.33
6. Step 6: Final answer
   x = 7,806.72