Finding the Fourth Proportional to 9,661.88, 13,328.52 and 5,680.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,661.88 : 13,328.52 = 5,680.46 : x
2. Step 2: Convert to fraction form
   9,661.88/13,328.52 = 5,680.46/x
3. Step 3: Cross multiply
   9,661.88x = 13,328.52 × 5,680.46
4. Step 4: Simplify right side
   9,661.88x = 75,712,124.72
5. Step 5: Solve for x
   x = 75,712,124.72/9,661.88
6. Step 6: Final answer
   x = 7,836.17