Finding the Fourth Proportional to 11,584.82, 15,986.48 and 7,340.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,584.82 : 15,986.48 = 7,340.42 : x
2. Step 2: Convert to fraction form
   11,584.82/15,986.48 = 7,340.42/x
3. Step 3: Cross multiply
   11,584.82x = 15,986.48 × 7,340.42
4. Step 4: Simplify right side
   11,584.82x = 117,347,477.52
5. Step 5: Solve for x
   x = 117,347,477.52/11,584.82
6. Step 6: Final answer
   x = 10,129.42