Finding the Fourth Proportional to 6,142.27, 8,473.92 and 3,780.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,142.27 : 8,473.92 = 3,780.31 : x
2. Step 2: Convert to fraction form
   6,142.27/8,473.92 = 3,780.31/x
3. Step 3: Cross multiply
   6,142.27x = 8,473.92 × 3,780.31
4. Step 4: Simplify right side
   6,142.27x = 32,034,002.15
5. Step 5: Solve for x
   x = 32,034,002.15/6,142.27
6. Step 6: Final answer
   x = 5,215.34