Finding the Fourth Proportional to 2,538.30, 3,806.72 and 978.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.30 : 3,806.72 = 978.18 : x
2. Step 2: Convert to fraction form
   2,538.30/3,806.72 = 978.18/x
3. Step 3: Cross multiply
   2,538.30x = 3,806.72 × 978.18
4. Step 4: Simplify right side
   2,538.30x = 3,723,657.37
5. Step 5: Solve for x
   x = 3,723,657.37/2,538.30
6. Step 6: Final answer
   x = 1,466.99