Finding the Fourth Proportional to 11,382.10, 15,715.29 and 7,853.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,382.10 : 15,715.29 = 7,853.38 : x
2. Step 2: Convert to fraction form
   11,382.10/15,715.29 = 7,853.38/x
3. Step 3: Cross multiply
   11,382.10x = 15,715.29 × 7,853.38
4. Step 4: Simplify right side
   11,382.10x = 123,418,144.18
5. Step 5: Solve for x
   x = 123,418,144.18/11,382.10
6. Step 6: Final answer
   x = 10,843.18