Finding the Fourth Proportional to 11,446.81, 17,168.82 and 5,200.18

Step by Step Solution

1. Step 1: Write the proportion equation
   11,446.81 : 17,168.82 = 5,200.18 : x
2. Step 2: Convert to fraction form
   11,446.81/17,168.82 = 5,200.18/x
3. Step 3: Cross multiply
   11,446.81x = 17,168.82 × 5,200.18
4. Step 4: Simplify right side
   11,446.81x = 89,280,954.39
5. Step 5: Solve for x
   x = 89,280,954.39/11,446.81
6. Step 6: Final answer
   x = 7,799.64