Finding the Fourth Proportional to 2,134.12, 3,200.09 and 978.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,134.12 : 3,200.09 = 978.88 : x
2. Step 2: Convert to fraction form
   2,134.12/3,200.09 = 978.88/x
3. Step 3: Cross multiply
   2,134.12x = 3,200.09 × 978.88
4. Step 4: Simplify right side
   2,134.12x = 3,132,504.10
5. Step 5: Solve for x
   x = 3,132,504.10/2,134.12
6. Step 6: Final answer
   x = 1,467.82