Finding the Fourth Proportional to 3,835.30, 5,296.04 and 3,638.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,835.30 : 5,296.04 = 3,638.47 : x
2. Step 2: Convert to fraction form
   3,835.30/5,296.04 = 3,638.47/x
3. Step 3: Cross multiply
   3,835.30x = 5,296.04 × 3,638.47
4. Step 4: Simplify right side
   3,835.30x = 19,269,464.47
5. Step 5: Solve for x
   x = 19,269,464.47/3,835.30
6. Step 6: Final answer
   x = 5,024.24