Finding the Fourth Proportional to 9,681.72, 14,519.43 and 5,978.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,681.72 : 14,519.43 = 5,978.40 : x
2. Step 2: Convert to fraction form
   9,681.72/14,519.43 = 5,978.40/x
3. Step 3: Cross multiply
   9,681.72x = 14,519.43 × 5,978.40
4. Step 4: Simplify right side
   9,681.72x = 86,802,960.31
5. Step 5: Solve for x
   x = 86,802,960.31/9,681.72
6. Step 6: Final answer
   x = 8,965.65