Finding the Fourth Proportional to 9,803.82, 14,676.54 and 5,896.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,803.82 : 14,676.54 = 5,896.38 : x
2. Step 2: Convert to fraction form
   9,803.82/14,676.54 = 5,896.38/x
3. Step 3: Cross multiply
   9,803.82x = 14,676.54 × 5,896.38
4. Step 4: Simplify right side
   9,803.82x = 86,538,456.93
5. Step 5: Solve for x
   x = 86,538,456.93/9,803.82
6. Step 6: Final answer
   x = 8,827.01