Finding the Fourth Proportional to 2,133.56, 3,201.16 and 978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,133.56 : 3,201.16 = 978.50 : x
2. Step 2: Convert to fraction form
   2,133.56/3,201.16 = 978.50/x
3. Step 3: Cross multiply
   2,133.56x = 3,201.16 × 978.50
4. Step 4: Simplify right side
   2,133.56x = 3,132,335.06
5. Step 5: Solve for x
   x = 3,132,335.06/2,133.56
6. Step 6: Final answer
   x = 1,468.13