Finding the Fourth Proportional to 11,664.86, 17,496.01 and 4,166.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,664.86 : 17,496.01 = 4,166.82 : x
2. Step 2: Convert to fraction form
   11,664.86/17,496.01 = 4,166.82/x
3. Step 3: Cross multiply
   11,664.86x = 17,496.01 × 4,166.82
4. Step 4: Simplify right side
   11,664.86x = 72,902,713.97
5. Step 5: Solve for x
   x = 72,902,713.97/11,664.86
6. Step 6: Final answer
   x = 6,249.77