Finding the Fourth Proportional to 11,867.72, 16,380.87 and 7,837.49

Step by Step Solution

1. Step 1: Write the proportion equation
   11,867.72 : 16,380.87 = 7,837.49 : x
2. Step 2: Convert to fraction form
   11,867.72/16,380.87 = 7,837.49/x
3. Step 3: Cross multiply
   11,867.72x = 16,380.87 × 7,837.49
4. Step 4: Simplify right side
   11,867.72x = 128,384,916.38
5. Step 5: Solve for x
   x = 128,384,916.38/11,867.72
6. Step 6: Final answer
   x = 10,817.99