Finding the Fourth Proportional to 9,685.58, 13,367.33 and 5,707.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,685.58 : 13,367.33 = 5,707.06 : x
2. Step 2: Convert to fraction form
   9,685.58/13,367.33 = 5,707.06/x
3. Step 3: Cross multiply
   9,685.58x = 13,367.33 × 5,707.06
4. Step 4: Simplify right side
   9,685.58x = 76,288,113.80
5. Step 5: Solve for x
   x = 76,288,113.80/9,685.58
6. Step 6: Final answer
   x = 7,876.47