Finding the Fourth Proportional to 9,666.25, 13,338.79 and 5,686.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666.25 : 13,338.79 = 5,686.59 : x
2. Step 2: Convert to fraction form
   9,666.25/13,338.79 = 5,686.59/x
3. Step 3: Cross multiply
   9,666.25x = 13,338.79 × 5,686.59
4. Step 4: Simplify right side
   9,666.25x = 75,852,203.10
5. Step 5: Solve for x
   x = 75,852,203.10/9,666.25
6. Step 6: Final answer
   x = 7,847.12