Finding the Fourth Proportional to 9,411.48, 12,988.38 and 5,686.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,411.48 : 12,988.38 = 5,686.68 : x
2. Step 2: Convert to fraction form
   9,411.48/12,988.38 = 5,686.68/x
3. Step 3: Cross multiply
   9,411.48x = 12,988.38 × 5,686.68
4. Step 4: Simplify right side
   9,411.48x = 73,860,760.78
5. Step 5: Solve for x
   x = 73,860,760.78/9,411.48
6. Step 6: Final answer
   x = 7,847.94