Finding the Fourth Proportional to 9,682.96, 13,363.07 and 5,434.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,682.96 : 13,363.07 = 5,434.37 : x
2. Step 2: Convert to fraction form
   9,682.96/13,363.07 = 5,434.37/x
3. Step 3: Cross multiply
   9,682.96x = 13,363.07 × 5,434.37
4. Step 4: Simplify right side
   9,682.96x = 72,619,928.58
5. Step 5: Solve for x
   x = 72,619,928.58/9,682.96
6. Step 6: Final answer
   x = 7,499.77