Finding the Fourth Proportional to 2,438.50, 3,659.82 and 978.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,438.50 : 3,659.82 = 978.64 : x
2. Step 2: Convert to fraction form
   2,438.50/3,659.82 = 978.64/x
3. Step 3: Cross multiply
   2,438.50x = 3,659.82 × 978.64
4. Step 4: Simplify right side
   2,438.50x = 3,581,646.24
5. Step 5: Solve for x
   x = 3,581,646.24/2,438.50
6. Step 6: Final answer
   x = 1,468.79