Finding the Fourth Proportional to 2,003.68, 3,002.64 and 978.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.68 : 3,002.64 = 978.40 : x
2. Step 2: Convert to fraction form
   2,003.68/3,002.64 = 978.40/x
3. Step 3: Cross multiply
   2,003.68x = 3,002.64 × 978.40
4. Step 4: Simplify right side
   2,003.68x = 2,937,782.98
5. Step 5: Solve for x
   x = 2,937,782.98/2,003.68
6. Step 6: Final answer
   x = 1,466.19