Finding the Fourth Proportional to 9,212.52, 12,706.83 and 5,677.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,212.52 : 12,706.83 = 5,677.68 : x
2. Step 2: Convert to fraction form
   9,212.52/12,706.83 = 5,677.68/x
3. Step 3: Cross multiply
   9,212.52x = 12,706.83 × 5,677.68
4. Step 4: Simplify right side
   9,212.52x = 72,145,314.55
5. Step 5: Solve for x
   x = 72,145,314.55/9,212.52
6. Step 6: Final answer
   x = 7,831.22