Finding the Fourth Proportional to 6,662.70, 9,194.50 and 3,638.02

Step by Step Solution

1. Step 1: Write the proportion equation
   6,662.70 : 9,194.50 = 3,638.02 : x
2. Step 2: Convert to fraction form
   6,662.70/9,194.50 = 3,638.02/x
3. Step 3: Cross multiply
   6,662.70x = 9,194.50 × 3,638.02
4. Step 4: Simplify right side
   6,662.70x = 33,449,774.89
5. Step 5: Solve for x
   x = 33,449,774.89/6,662.70
6. Step 6: Final answer
   x = 5,020.45