Finding the Fourth Proportional to 14,584.08, 21,870.72 and 5,222.64

Step by Step Solution

1. Step 1: Write the proportion equation
   14,584.08 : 21,870.72 = 5,222.64 : x
2. Step 2: Convert to fraction form
   14,584.08/21,870.72 = 5,222.64/x
3. Step 3: Cross multiply
   14,584.08x = 21,870.72 × 5,222.64
4. Step 4: Simplify right side
   14,584.08x = 114,222,897.10
5. Step 5: Solve for x
   x = 114,222,897.10/14,584.08
6. Step 6: Final answer
   x = 7,832.03