Finding the Fourth Proportional to 2,539.45, 3,807.38 and 978.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,539.45 : 3,807.38 = 978.14 : x
2. Step 2: Convert to fraction form
   2,539.45/3,807.38 = 978.14/x
3. Step 3: Cross multiply
   2,539.45x = 3,807.38 × 978.14
4. Step 4: Simplify right side
   2,539.45x = 3,724,131.64
5. Step 5: Solve for x
   x = 3,724,131.64/2,539.45
6. Step 6: Final answer
   x = 1,466.51