Finding the Fourth Proportional to 2,210.24, 3,314.80 and 978.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,210.24 : 3,314.80 = 978.40 : x
2. Step 2: Convert to fraction form
   2,210.24/3,314.80 = 978.40/x
3. Step 3: Cross multiply
   2,210.24x = 3,314.80 × 978.40
4. Step 4: Simplify right side
   2,210.24x = 3,243,200.32
5. Step 5: Solve for x
   x = 3,243,200.32/2,210.24
6. Step 6: Final answer
   x = 1,467.35