Finding the Fourth Proportional to 11,978.48, 17,967.60 and 8,537.60

Step by Step Solution

1. Step 1: Write the proportion equation
   11,978.48 : 17,967.60 = 8,537.60 : x
2. Step 2: Convert to fraction form
   11,978.48/17,967.60 = 8,537.60/x
3. Step 3: Cross multiply
   11,978.48x = 17,967.60 × 8,537.60
4. Step 4: Simplify right side
   11,978.48x = 153,400,181.76
5. Step 5: Solve for x
   x = 153,400,181.76/11,978.48
6. Step 6: Final answer
   x = 12,806.31