Finding the Fourth Proportional to 2,538.78, 3,807.54 and 978.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.78 : 3,807.54 = 978.18 : x
2. Step 2: Convert to fraction form
   2,538.78/3,807.54 = 978.18/x
3. Step 3: Cross multiply
   2,538.78x = 3,807.54 × 978.18
4. Step 4: Simplify right side
   2,538.78x = 3,724,459.48
5. Step 5: Solve for x
   x = 3,724,459.48/2,538.78
6. Step 6: Final answer
   x = 1,467.03