Finding the Fourth Proportional to 6,436.22, 9,638.52 and 3,138.70

Step by Step Solution

1. Step 1: Write the proportion equation
   6,436.22 : 9,638.52 = 3,138.70 : x
2. Step 2: Convert to fraction form
   6,436.22/9,638.52 = 3,138.70/x
3. Step 3: Cross multiply
   6,436.22x = 9,638.52 × 3,138.70
4. Step 4: Simplify right side
   6,436.22x = 30,252,422.72
5. Step 5: Solve for x
   x = 30,252,422.72/6,436.22
6. Step 6: Final answer
   x = 4,700.34