Finding the Fourth Proportional to 9,831.38, 13,568.06 and 5,583.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,831.38 : 13,568.06 = 5,583.77 : x
2. Step 2: Convert to fraction form
   9,831.38/13,568.06 = 5,583.77/x
3. Step 3: Cross multiply
   9,831.38x = 13,568.06 × 5,583.77
4. Step 4: Simplify right side
   9,831.38x = 75,760,830.63
5. Step 5: Solve for x
   x = 75,760,830.63/9,831.38
6. Step 6: Final answer
   x = 7,706.03