Finding the Fourth Proportional to 5,682.67, 7,834.44 and 3,978.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,682.67 : 7,834.44 = 3,978.88 : x
2. Step 2: Convert to fraction form
   5,682.67/7,834.44 = 3,978.88/x
3. Step 3: Cross multiply
   5,682.67x = 7,834.44 × 3,978.88
4. Step 4: Simplify right side
   5,682.67x = 31,172,288.73
5. Step 5: Solve for x
   x = 31,172,288.73/5,682.67
6. Step 6: Final answer
   x = 5,485.50