Finding the Fourth Proportional to 3,642.35, 5,419.94 and 3,630.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,642.35 : 5,419.94 = 3,630.06 : x
2. Step 2: Convert to fraction form
   3,642.35/5,419.94 = 3,630.06/x
3. Step 3: Cross multiply
   3,642.35x = 5,419.94 × 3,630.06
4. Step 4: Simplify right side
   3,642.35x = 19,674,689.25
5. Step 5: Solve for x
   x = 19,674,689.25/3,642.35
6. Step 6: Final answer
   x = 5,401.65