Finding the Fourth Proportional to 21,219.32, 31,826.54 and 5,638.20

Step by Step Solution

1. Step 1: Write the proportion equation
   21,219.32 : 31,826.54 = 5,638.20 : x
2. Step 2: Convert to fraction form
   21,219.32/31,826.54 = 5,638.20/x
3. Step 3: Cross multiply
   21,219.32x = 31,826.54 × 5,638.20
4. Step 4: Simplify right side
   21,219.32x = 179,444,397.83
5. Step 5: Solve for x
   x = 179,444,397.83/21,219.32
6. Step 6: Final answer
   x = 8,456.65