Finding the Fourth Proportional to 14,584.64, 21,871.59 and 5,222.12

Step by Step Solution

1. Step 1: Write the proportion equation
   14,584.64 : 21,871.59 = 5,222.12 : x
2. Step 2: Convert to fraction form
   14,584.64/21,871.59 = 5,222.12/x
3. Step 3: Cross multiply
   14,584.64x = 21,871.59 × 5,222.12
4. Step 4: Simplify right side
   14,584.64x = 114,216,012.89
5. Step 5: Solve for x
   x = 114,216,012.89/14,584.64
6. Step 6: Final answer
   x = 7,831.25