Finding the Fourth Proportional to 9,684.96, 13,364.69 and 5,435.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684.96 : 13,364.69 = 5,435.62 : x
2. Step 2: Convert to fraction form
   9,684.96/13,364.69 = 5,435.62/x
3. Step 3: Cross multiply
   9,684.96x = 13,364.69 × 5,435.62
4. Step 4: Simplify right side
   9,684.96x = 72,645,282.26
5. Step 5: Solve for x
   x = 72,645,282.26/9,684.96
6. Step 6: Final answer
   x = 7,500.83