Finding the Fourth Proportional to 9,659.50, 13,330.17 and 5,680.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,659.50 : 13,330.17 = 5,680.78 : x
2. Step 2: Convert to fraction form
   9,659.50/13,330.17 = 5,680.78/x
3. Step 3: Cross multiply
   9,659.50x = 13,330.17 × 5,680.78
4. Step 4: Simplify right side
   9,659.50x = 75,725,763.13
5. Step 5: Solve for x
   x = 75,725,763.13/9,659.50
6. Step 6: Final answer
   x = 7,839.51