Finding the Fourth Proportional to 6,741.05, 10,102.62 and 3,577.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,741.05 : 10,102.62 = 3,577.83 : x
2. Step 2: Convert to fraction form
   6,741.05/10,102.62 = 3,577.83/x
3. Step 3: Cross multiply
   6,741.05x = 10,102.62 × 3,577.83
4. Step 4: Simplify right side
   6,741.05x = 36,145,456.91
5. Step 5: Solve for x
   x = 36,145,456.91/6,741.05
6. Step 6: Final answer
   x = 5,361.99