Finding the Fourth Proportional to 6,978.96, 10,468.98 and 3,082.68

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.96 : 10,468.98 = 3,082.68 : x
2. Step 2: Convert to fraction form
   6,978.96/10,468.98 = 3,082.68/x
3. Step 3: Cross multiply
   6,978.96x = 10,468.98 × 3,082.68
4. Step 4: Simplify right side
   6,978.96x = 32,272,515.27
5. Step 5: Solve for x
   x = 32,272,515.27/6,978.96
6. Step 6: Final answer
   x = 4,624.26