Finding the Fourth Proportional to 9,689.51, 13,371.39 and 5,659.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,689.51 : 13,371.39 = 5,659.02 : x
2. Step 2: Convert to fraction form
   9,689.51/13,371.39 = 5,659.02/x
3. Step 3: Cross multiply
   9,689.51x = 13,371.39 × 5,659.02
4. Step 4: Simplify right side
   9,689.51x = 75,668,963.44
5. Step 5: Solve for x
   x = 75,668,963.44/9,689.51
6. Step 6: Final answer
   x = 7,809.37