Finding the Fourth Proportional to 6,832.53, 9,429.06 and 3,766.47

Step by Step Solution

1. Step 1: Write the proportion equation
   6,832.53 : 9,429.06 = 3,766.47 : x
2. Step 2: Convert to fraction form
   6,832.53/9,429.06 = 3,766.47/x
3. Step 3: Cross multiply
   6,832.53x = 9,429.06 × 3,766.47
4. Step 4: Simplify right side
   6,832.53x = 35,514,308.75
5. Step 5: Solve for x
   x = 35,514,308.75/6,832.53
6. Step 6: Final answer
   x = 5,197.83