Finding the Fourth Proportional to 6,683.32, 9,216.89 and 5,738.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,683.32 : 9,216.89 = 5,738.82 : x
2. Step 2: Convert to fraction form
   6,683.32/9,216.89 = 5,738.82/x
3. Step 3: Cross multiply
   6,683.32x = 9,216.89 × 5,738.82
4. Step 4: Simplify right side
   6,683.32x = 52,893,997.89
5. Step 5: Solve for x
   x = 52,893,997.89/6,683.32
6. Step 6: Final answer
   x = 7,914.33