Finding the Fourth Proportional to 11,857.05, 16,364.99 and 7,816.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,857.05 : 16,364.99 = 7,816.78 : x
2. Step 2: Convert to fraction form
   11,857.05/16,364.99 = 7,816.78/x
3. Step 3: Cross multiply
   11,857.05x = 16,364.99 × 7,816.78
4. Step 4: Simplify right side
   11,857.05x = 127,921,487.45
5. Step 5: Solve for x
   x = 127,921,487.45/11,857.05
6. Step 6: Final answer
   x = 10,788.65