Finding the Fourth Proportional to 11,766.48, 17,629.80 and 5,835.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766.48 : 17,629.80 = 5,835.42 : x
2. Step 2: Convert to fraction form
   11,766.48/17,629.80 = 5,835.42/x
3. Step 3: Cross multiply
   11,766.48x = 17,629.80 × 5,835.42
4. Step 4: Simplify right side
   11,766.48x = 102,877,287.52
5. Step 5: Solve for x
   x = 102,877,287.52/11,766.48
6. Step 6: Final answer
   x = 8,743.25