Finding the Fourth Proportional to 11,778.67, 17,664.22 and 5,204.71

Step by Step Solution

1. Step 1: Write the proportion equation
   11,778.67 : 17,664.22 = 5,204.71 : x
2. Step 2: Convert to fraction form
   11,778.67/17,664.22 = 5,204.71/x
3. Step 3: Cross multiply
   11,778.67x = 17,664.22 × 5,204.71
4. Step 4: Simplify right side
   11,778.67x = 91,937,142.48
5. Step 5: Solve for x
   x = 91,937,142.48/11,778.67
6. Step 6: Final answer
   x = 7,805.39