Finding the Fourth Proportional to 9,686.27, 13,364.88 and 5,707.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,686.27 : 13,364.88 = 5,707.76 : x
2. Step 2: Convert to fraction form
   9,686.27/13,364.88 = 5,707.76/x
3. Step 3: Cross multiply
   9,686.27x = 13,364.88 × 5,707.76
4. Step 4: Simplify right side
   9,686.27x = 76,283,439.24
5. Step 5: Solve for x
   x = 76,283,439.24/9,686.27
6. Step 6: Final answer
   x = 7,875.42