Finding the Fourth Proportional to 6,909.82, 10,361.68 and 1,978.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,909.82 : 10,361.68 = 1,978.34 : x
2. Step 2: Convert to fraction form
   6,909.82/10,361.68 = 1,978.34/x
3. Step 3: Cross multiply
   6,909.82x = 10,361.68 × 1,978.34
4. Step 4: Simplify right side
   6,909.82x = 20,498,926.01
5. Step 5: Solve for x
   x = 20,498,926.01/6,909.82
6. Step 6: Final answer
   x = 2,966.64