Finding the Fourth Proportional to 11,978.01, 17,968.23 and 4,588.65

Step by Step Solution

1. Step 1: Write the proportion equation
   11,978.01 : 17,968.23 = 4,588.65 : x
2. Step 2: Convert to fraction form
   11,978.01/17,968.23 = 4,588.65/x
3. Step 3: Cross multiply
   11,978.01x = 17,968.23 × 4,588.65
4. Step 4: Simplify right side
   11,978.01x = 82,449,918.59
5. Step 5: Solve for x
   x = 82,449,918.59/11,978.01
6. Step 6: Final answer
   x = 6,883.44