Finding the Fourth Proportional to 6,726.42, 9,282.80 and 3,742.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,726.42 : 9,282.80 = 3,742.31 : x
2. Step 2: Convert to fraction form
   6,726.42/9,282.80 = 3,742.31/x
3. Step 3: Cross multiply
   6,726.42x = 9,282.80 × 3,742.31
4. Step 4: Simplify right side
   6,726.42x = 34,739,147.83
5. Step 5: Solve for x
   x = 34,739,147.83/6,726.42
6. Step 6: Final answer
   x = 5,164.58