Finding the Fourth Proportional to 1,802.24, 2,700.84 and 978.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,802.24 : 2,700.84 = 978.72 : x
2. Step 2: Convert to fraction form
   1,802.24/2,700.84 = 978.72/x
3. Step 3: Cross multiply
   1,802.24x = 2,700.84 × 978.72
4. Step 4: Simplify right side
   1,802.24x = 2,643,366.12
5. Step 5: Solve for x
   x = 2,643,366.12/1,802.24
6. Step 6: Final answer
   x = 1,466.71