Finding the Fourth Proportional to 6,978.30, 10,467.93 and 3,082.74

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.30 : 10,467.93 = 3,082.74 : x
2. Step 2: Convert to fraction form
   6,978.30/10,467.93 = 3,082.74/x
3. Step 3: Cross multiply
   6,978.30x = 10,467.93 × 3,082.74
4. Step 4: Simplify right side
   6,978.30x = 32,269,906.53
5. Step 5: Solve for x
   x = 32,269,906.53/6,978.30
6. Step 6: Final answer
   x = 4,624.32