Finding the Fourth Proportional to 9,684.24, 13,364.06 and 5,435.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684.24 : 13,364.06 = 5,435.40 : x
2. Step 2: Convert to fraction form
   9,684.24/13,364.06 = 5,435.40/x
3. Step 3: Cross multiply
   9,684.24x = 13,364.06 × 5,435.40
4. Step 4: Simplify right side
   9,684.24x = 72,639,011.72
5. Step 5: Solve for x
   x = 72,639,011.72/9,684.24
6. Step 6: Final answer
   x = 7,500.74