Finding the Fourth Proportional to 6,997.50, 9,656.55 and 3,853.71

Step by Step Solution

1. Step 1: Write the proportion equation
   6,997.50 : 9,656.55 = 3,853.71 : x
2. Step 2: Convert to fraction form
   6,997.50/9,656.55 = 3,853.71/x
3. Step 3: Cross multiply
   6,997.50x = 9,656.55 × 3,853.71
4. Step 4: Simplify right side
   6,997.50x = 37,213,543.30
5. Step 5: Solve for x
   x = 37,213,543.30/6,997.50
6. Step 6: Final answer
   x = 5,318.12