Finding the Fourth Proportional to 11,538.75, 17,301.94 and 5,978.31

Step by Step Solution

1. Step 1: Write the proportion equation
   11,538.75 : 17,301.94 = 5,978.31 : x
2. Step 2: Convert to fraction form
   11,538.75/17,301.94 = 5,978.31/x
3. Step 3: Cross multiply
   11,538.75x = 17,301.94 × 5,978.31
4. Step 4: Simplify right side
   11,538.75x = 103,436,281.09
5. Step 5: Solve for x
   x = 103,436,281.09/11,538.75
6. Step 6: Final answer
   x = 8,964.25