Finding the Fourth Proportional to 6,997.78, 9,656.58 and 3,854.17

Step by Step Solution

1. Step 1: Write the proportion equation
   6,997.78 : 9,656.58 = 3,854.17 : x
2. Step 2: Convert to fraction form
   6,997.78/9,656.58 = 3,854.17/x
3. Step 3: Cross multiply
   6,997.78x = 9,656.58 × 3,854.17
4. Step 4: Simplify right side
   6,997.78x = 37,218,100.94
5. Step 5: Solve for x
   x = 37,218,100.94/6,997.78
6. Step 6: Final answer
   x = 5,318.56