Finding the Fourth Proportional to 9,639.57, 13,300.17 and 5,659.91

Step by Step Solution

1. Step 1: Write the proportion equation
   9,639.57 : 13,300.17 = 5,659.91 : x
2. Step 2: Convert to fraction form
   9,639.57/13,300.17 = 5,659.91/x
3. Step 3: Cross multiply
   9,639.57x = 13,300.17 × 5,659.91
4. Step 4: Simplify right side
   9,639.57x = 75,277,698.68
5. Step 5: Solve for x
   x = 75,277,698.68/9,639.57
6. Step 6: Final answer
   x = 7,809.24