Finding the Fourth Proportional to 1,415.58, 2,119.70 and 978.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.58 : 2,119.70 = 978.18 : x
2. Step 2: Convert to fraction form
   1,415.58/2,119.70 = 978.18/x
3. Step 3: Cross multiply
   1,415.58x = 2,119.70 × 978.18
4. Step 4: Simplify right side
   1,415.58x = 2,073,448.15
5. Step 5: Solve for x
   x = 2,073,448.15/1,415.58
6. Step 6: Final answer
   x = 1,464.73