Finding the Fourth Proportional to 9,665.88, 13,338.68 and 5,687.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.88 : 13,338.68 = 5,687.25 : x
2. Step 2: Convert to fraction form
   9,665.88/13,338.68 = 5,687.25/x
3. Step 3: Cross multiply
   9,665.88x = 13,338.68 × 5,687.25
4. Step 4: Simplify right side
   9,665.88x = 75,860,407.83
5. Step 5: Solve for x
   x = 75,860,407.83/9,665.88
6. Step 6: Final answer
   x = 7,848.27