Finding the Fourth Proportional to 6,962.64, 9,609.12 and 3,978.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,962.64 : 9,609.12 = 3,978.72 : x
2. Step 2: Convert to fraction form
   6,962.64/9,609.12 = 3,978.72/x
3. Step 3: Cross multiply
   6,962.64x = 9,609.12 × 3,978.72
4. Step 4: Simplify right side
   6,962.64x = 38,231,997.93
5. Step 5: Solve for x
   x = 38,231,997.93/6,962.64
6. Step 6: Final answer
   x = 5,491.02