Finding the Fourth Proportional to 2,538.20, 3,807.72 and 978.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.20 : 3,807.72 = 978.14 : x
2. Step 2: Convert to fraction form
   2,538.20/3,807.72 = 978.14/x
3. Step 3: Cross multiply
   2,538.20x = 3,807.72 × 978.14
4. Step 4: Simplify right side
   2,538.20x = 3,724,483.24
5. Step 5: Solve for x
   x = 3,724,483.24/2,538.20
6. Step 6: Final answer
   x = 1,467.37