Finding the Fourth Proportional to 2,538.12, 3,806.48 and 978.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.12 : 3,806.48 = 978.32 : x
2. Step 2: Convert to fraction form
   2,538.12/3,806.48 = 978.32/x
3. Step 3: Cross multiply
   2,538.12x = 3,806.48 × 978.32
4. Step 4: Simplify right side
   2,538.12x = 3,723,955.51
5. Step 5: Solve for x
   x = 3,723,955.51/2,538.12
6. Step 6: Final answer
   x = 1,467.21