Finding the Fourth Proportional to 10,764.69, 16,146.86 and 5,218.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,764.69 : 16,146.86 = 5,218.51 : x
2. Step 2: Convert to fraction form
   10,764.69/16,146.86 = 5,218.51/x
3. Step 3: Cross multiply
   10,764.69x = 16,146.86 × 5,218.51
4. Step 4: Simplify right side
   10,764.69x = 84,262,550.38
5. Step 5: Solve for x
   x = 84,262,550.38/10,764.69
6. Step 6: Final answer
   x = 7,827.68