Finding the Fourth Proportional to 3,847.76, 5,766.20 and 2,978

Step by Step Solution

1. Step 1: Write the proportion equation
   3,847.76 : 5,766.20 = 2,978 : x
2. Step 2: Convert to fraction form
   3,847.76/5,766.20 = 2,978/x
3. Step 3: Cross multiply
   3,847.76x = 5,766.20 × 2,978
4. Step 4: Simplify right side
   3,847.76x = 17,171,743.60
5. Step 5: Solve for x
   x = 17,171,743.60/3,847.76
6. Step 6: Final answer
   x = 4,462.79