Finding the Fourth Proportional to 6,997.86, 9,656.61 and 3,854.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,997.86 : 9,656.61 = 3,854.05 : x
2. Step 2: Convert to fraction form
   6,997.86/9,656.61 = 3,854.05/x
3. Step 3: Cross multiply
   6,997.86x = 9,656.61 × 3,854.05
4. Step 4: Simplify right side
   6,997.86x = 37,216,990.22
5. Step 5: Solve for x
   x = 37,216,990.22/6,997.86
6. Step 6: Final answer
   x = 5,318.34