Finding the Fourth Proportional to 11,865.69, 16,371.32 and 7,085.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,865.69 : 16,371.32 = 7,085.78 : x
2. Step 2: Convert to fraction form
   11,865.69/16,371.32 = 7,085.78/x
3. Step 3: Cross multiply
   11,865.69x = 16,371.32 × 7,085.78
4. Step 4: Simplify right side
   11,865.69x = 116,003,515.94
5. Step 5: Solve for x
   x = 116,003,515.94/11,865.69
6. Step 6: Final answer
   x = 9,776.38