Finding the Fourth Proportional to 6,141.96, 8,472.24 and 3,782.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,141.96 : 8,472.24 = 3,782.34 : x
2. Step 2: Convert to fraction form
   6,141.96/8,472.24 = 3,782.34/x
3. Step 3: Cross multiply
   6,141.96x = 8,472.24 × 3,782.34
4. Step 4: Simplify right side
   6,141.96x = 32,044,892.24
5. Step 5: Solve for x
   x = 32,044,892.24/6,141.96
6. Step 6: Final answer
   x = 5,217.37