Finding the Fourth Proportional to 2,538.32, 3,806.70 and 978.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.32 : 3,806.70 = 978.20 : x
2. Step 2: Convert to fraction form
   2,538.32/3,806.70 = 978.20/x
3. Step 3: Cross multiply
   2,538.32x = 3,806.70 × 978.20
4. Step 4: Simplify right side
   2,538.32x = 3,723,713.94
5. Step 5: Solve for x
   x = 3,723,713.94/2,538.32
6. Step 6: Final answer
   x = 1,467.00