Finding the Fourth Proportional to 6,922.84, 10,388.54 and 3,638.28

Step by Step Solution

1. Step 1: Write the proportion equation
   6,922.84 : 10,388.54 = 3,638.28 : x
2. Step 2: Convert to fraction form
   6,922.84/10,388.54 = 3,638.28/x
3. Step 3: Cross multiply
   6,922.84x = 10,388.54 × 3,638.28
4. Step 4: Simplify right side
   6,922.84x = 37,796,417.31
5. Step 5: Solve for x
   x = 37,796,417.31/6,922.84
6. Step 6: Final answer
   x = 5,459.67