Finding the Fourth Proportional to 9,684.52, 13,365.56 and 5,706.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684.52 : 13,365.56 = 5,706.88 : x
2. Step 2: Convert to fraction form
   9,684.52/13,365.56 = 5,706.88/x
3. Step 3: Cross multiply
   9,684.52x = 13,365.56 × 5,706.88
4. Step 4: Simplify right side
   9,684.52x = 76,275,647.05
5. Step 5: Solve for x
   x = 76,275,647.05/9,684.52
6. Step 6: Final answer
   x = 7,876.04