Finding the Fourth Proportional to 9,682.50, 13,361.88 and 5,491.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,682.50 : 13,361.88 = 5,491.02 : x
2. Step 2: Convert to fraction form
   9,682.50/13,361.88 = 5,491.02/x
3. Step 3: Cross multiply
   9,682.50x = 13,361.88 × 5,491.02
4. Step 4: Simplify right side
   9,682.50x = 73,370,350.32
5. Step 5: Solve for x
   x = 73,370,350.32/9,682.50
6. Step 6: Final answer
   x = 7,577.62