Finding the Fourth Proportional to 11,446.50, 17,167.71 and 5,205.06

Step by Step Solution

1. Step 1: Write the proportion equation
   11,446.50 : 17,167.71 = 5,205.06 : x
2. Step 2: Convert to fraction form
   11,446.50/17,167.71 = 5,205.06/x
3. Step 3: Cross multiply
   11,446.50x = 17,167.71 × 5,205.06
4. Step 4: Simplify right side
   11,446.50x = 89,358,960.61
5. Step 5: Solve for x
   x = 89,358,960.61/11,446.50
6. Step 6: Final answer
   x = 7,806.66