Finding the Fourth Proportional to 9,684.43, 13,364.78 and 5,435.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684.43 : 13,364.78 = 5,435.75 : x
2. Step 2: Convert to fraction form
   9,684.43/13,364.78 = 5,435.75/x
3. Step 3: Cross multiply
   9,684.43x = 13,364.78 × 5,435.75
4. Step 4: Simplify right side
   9,684.43x = 72,647,609.12
5. Step 5: Solve for x
   x = 72,647,609.12/9,684.43
6. Step 6: Final answer
   x = 7,501.49