Finding the Fourth Proportional to 3,899.49, 5,835.25 and 3,638.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,899.49 : 5,835.25 = 3,638.80 : x
2. Step 2: Convert to fraction form
   3,899.49/5,835.25 = 3,638.80/x
3. Step 3: Cross multiply
   3,899.49x = 5,835.25 × 3,638.80
4. Step 4: Simplify right side
   3,899.49x = 21,233,307.70
5. Step 5: Solve for x
   x = 21,233,307.70/3,899.49
6. Step 6: Final answer
   x = 5,445.15