Finding the Fourth Proportional to 9,836.52, 14,756.92 and 3,680.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,836.52 : 14,756.92 = 3,680.52 : x
2. Step 2: Convert to fraction form
   9,836.52/14,756.92 = 3,680.52/x
3. Step 3: Cross multiply
   9,836.52x = 14,756.92 × 3,680.52
4. Step 4: Simplify right side
   9,836.52x = 54,313,139.20
5. Step 5: Solve for x
   x = 54,313,139.20/9,836.52
6. Step 6: Final answer
   x = 5,521.58