Finding the Fourth Proportional to 11,978.67, 17,968 and 4,585.39

Step by Step Solution

1. Step 1: Write the proportion equation
   11,978.67 : 17,968 = 4,585.39 : x
2. Step 2: Convert to fraction form
   11,978.67/17,968 = 4,585.39/x
3. Step 3: Cross multiply
   11,978.67x = 17,968 × 4,585.39
4. Step 4: Simplify right side
   11,978.67x = 82,390,287.52
5. Step 5: Solve for x
   x = 82,390,287.52/11,978.67
6. Step 6: Final answer
   x = 6,878.08