Finding the Fourth Proportional to 9,659.56, 13,329.36 and 5,625.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,659.56 : 13,329.36 = 5,625.76 : x
2. Step 2: Convert to fraction form
   9,659.56/13,329.36 = 5,625.76/x
3. Step 3: Cross multiply
   9,659.56x = 13,329.36 × 5,625.76
4. Step 4: Simplify right side
   9,659.56x = 74,987,780.31
5. Step 5: Solve for x
   x = 74,987,780.31/9,659.56
6. Step 6: Final answer
   x = 7,763.06