Finding the Fourth Proportional to 9,682.84, 13,362.96 and 5,491.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,682.84 : 13,362.96 = 5,491.90 : x
2. Step 2: Convert to fraction form
   9,682.84/13,362.96 = 5,491.90/x
3. Step 3: Cross multiply
   9,682.84x = 13,362.96 × 5,491.90
4. Step 4: Simplify right side
   9,682.84x = 73,388,040.02
5. Step 5: Solve for x
   x = 73,388,040.02/9,682.84
6. Step 6: Final answer
   x = 7,579.19