Finding the Fourth Proportional to 7,178.42, 10,766.42 and 1,984.30

Step by Step Solution

1. Step 1: Write the proportion equation
   7,178.42 : 10,766.42 = 1,984.30 : x
2. Step 2: Convert to fraction form
   7,178.42/10,766.42 = 1,984.30/x
3. Step 3: Cross multiply
   7,178.42x = 10,766.42 × 1,984.30
4. Step 4: Simplify right side
   7,178.42x = 21,363,743.45
5. Step 5: Solve for x
   x = 21,363,743.45/7,178.42
6. Step 6: Final answer
   x = 2,976.11