Finding the Fourth Proportional to 9,664.88, 13,337.30 and 5,686.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664.88 : 13,337.30 = 5,686.25 : x
2. Step 2: Convert to fraction form
   9,664.88/13,337.30 = 5,686.25/x
3. Step 3: Cross multiply
   9,664.88x = 13,337.30 × 5,686.25
4. Step 4: Simplify right side
   9,664.88x = 75,839,176.76
5. Step 5: Solve for x
   x = 75,839,176.76/9,664.88
6. Step 6: Final answer
   x = 7,846.88