Finding the Fourth Proportional to 7,962.71, 10,986.64 and 5,978.00

Step by Step Solution

1. Step 1: Write the proportion equation
   7,962.71 : 10,986.64 = 5,978.00 : x
2. Step 2: Convert to fraction form
   7,962.71/10,986.64 = 5,978.00/x
3. Step 3: Cross multiply
   7,962.71x = 10,986.64 × 5,978.00
4. Step 4: Simplify right side
   7,962.71x = 65,678,146.44
5. Step 5: Solve for x
   x = 65,678,146.44/7,962.71
6. Step 6: Final answer
   x = 8,248.22