Finding the Fourth Proportional to 6,978.48, 10,468.17 and 3,082.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.48 : 10,468.17 = 3,082.88 : x
2. Step 2: Convert to fraction form
   6,978.48/10,468.17 = 3,082.88/x
3. Step 3: Cross multiply
   6,978.48x = 10,468.17 × 3,082.88
4. Step 4: Simplify right side
   6,978.48x = 32,272,059.59
5. Step 5: Solve for x
   x = 32,272,059.59/6,978.48
6. Step 6: Final answer
   x = 4,624.51