Finding the Fourth Proportional to 9,827.82, 14,732.49 and 3,586.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.82 : 14,732.49 = 3,586.38 : x
2. Step 2: Convert to fraction form
   9,827.82/14,732.49 = 3,586.38/x
3. Step 3: Cross multiply
   9,827.82x = 14,732.49 × 3,586.38
4. Step 4: Simplify right side
   9,827.82x = 52,836,307.49
5. Step 5: Solve for x
   x = 52,836,307.49/9,827.82
6. Step 6: Final answer
   x = 5,376.20