Finding the Fourth Proportional to 9,659.26, 13,327.77 and 5,678.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,659.26 : 13,327.77 = 5,678.25 : x
2. Step 2: Convert to fraction form
   9,659.26/13,327.77 = 5,678.25/x
3. Step 3: Cross multiply
   9,659.26x = 13,327.77 × 5,678.25
4. Step 4: Simplify right side
   9,659.26x = 75,678,410.00
5. Step 5: Solve for x
   x = 75,678,410.00/9,659.26
6. Step 6: Final answer
   x = 7,834.80