Finding the Fourth Proportional to 6,978.57, 10,467.84 and 1,784.43

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.57 : 10,467.84 = 1,784.43 : x
2. Step 2: Convert to fraction form
   6,978.57/10,467.84 = 1,784.43/x
3. Step 3: Cross multiply
   6,978.57x = 10,467.84 × 1,784.43
4. Step 4: Simplify right side
   6,978.57x = 18,679,127.73
5. Step 5: Solve for x
   x = 18,679,127.73/6,978.57
6. Step 6: Final answer
   x = 2,676.64