Finding the Fourth Proportional to 9,682.81, 13,362.83 and 5,433.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,682.81 : 13,362.83 = 5,433.65 : x
2. Step 2: Convert to fraction form
   9,682.81/13,362.83 = 5,433.65/x
3. Step 3: Cross multiply
   9,682.81x = 13,362.83 × 5,433.65
4. Step 4: Simplify right side
   9,682.81x = 72,608,941.23
5. Step 5: Solve for x
   x = 72,608,941.23/9,682.81
6. Step 6: Final answer
   x = 7,498.75