Finding the Fourth Proportional to 9,659.88, 13,325.76 and 5,678.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,659.88 : 13,325.76 = 5,678.46 : x
2. Step 2: Convert to fraction form
   9,659.88/13,325.76 = 5,678.46/x
3. Step 3: Cross multiply
   9,659.88x = 13,325.76 × 5,678.46
4. Step 4: Simplify right side
   9,659.88x = 75,669,795.13
5. Step 5: Solve for x
   x = 75,669,795.13/9,659.88
6. Step 6: Final answer
   x = 7,833.41