Finding the Fourth Proportional to 1,415.45, 2,119.52 and 978.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.45 : 2,119.52 = 978.05 : x
2. Step 2: Convert to fraction form
   1,415.45/2,119.52 = 978.05/x
3. Step 3: Cross multiply
   1,415.45x = 2,119.52 × 978.05
4. Step 4: Simplify right side
   1,415.45x = 2,073,004.28
5. Step 5: Solve for x
   x = 2,073,004.28/1,415.45
6. Step 6: Final answer
   x = 1,464.55