Finding the Fourth Proportional to 21,214.31, 31,822.52 and 5,419.46

Step by Step Solution

1. Step 1: Write the proportion equation
   21,214.31 : 31,822.52 = 5,419.46 : x
2. Step 2: Convert to fraction form
   21,214.31/31,822.52 = 5,419.46/x
3. Step 3: Cross multiply
   21,214.31x = 31,822.52 × 5,419.46
4. Step 4: Simplify right side
   21,214.31x = 172,460,778.18
5. Step 5: Solve for x
   x = 172,460,778.18/21,214.31
6. Step 6: Final answer
   x = 8,129.46