Finding the Fourth Proportional to 6,997.30, 9,656.72 and 3,853.49

Step by Step Solution

1. Step 1: Write the proportion equation
   6,997.30 : 9,656.72 = 3,853.49 : x
2. Step 2: Convert to fraction form
   6,997.30/9,656.72 = 3,853.49/x
3. Step 3: Cross multiply
   6,997.30x = 9,656.72 × 3,853.49
4. Step 4: Simplify right side
   6,997.30x = 37,212,042.61
5. Step 5: Solve for x
   x = 37,212,042.61/6,997.30
6. Step 6: Final answer
   x = 5,318.06