Finding the Fourth Proportional to 2,538.11, 3,806.49 and 978.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.11 : 3,806.49 = 978.32 : x
2. Step 2: Convert to fraction form
   2,538.11/3,806.49 = 978.32/x
3. Step 3: Cross multiply
   2,538.11x = 3,806.49 × 978.32
4. Step 4: Simplify right side
   2,538.11x = 3,723,965.30
5. Step 5: Solve for x
   x = 3,723,965.30/2,538.11
6. Step 6: Final answer
   x = 1,467.22