Finding the Fourth Proportional to 6,496.88, 8,966.16 and 3,702.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,496.88 : 8,966.16 = 3,702.38 : x
2. Step 2: Convert to fraction form
   6,496.88/8,966.16 = 3,702.38/x
3. Step 3: Cross multiply
   6,496.88x = 8,966.16 × 3,702.38
4. Step 4: Simplify right side
   6,496.88x = 33,196,086.63
5. Step 5: Solve for x
   x = 33,196,086.63/6,496.88
6. Step 6: Final answer
   x = 5,109.55