Finding the Fourth Proportional to 2,133.62, 3,199.34 and 978.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,133.62 : 3,199.34 = 978.38 : x
2. Step 2: Convert to fraction form
   2,133.62/3,199.34 = 978.38/x
3. Step 3: Cross multiply
   2,133.62x = 3,199.34 × 978.38
4. Step 4: Simplify right side
   2,133.62x = 3,130,170.27
5. Step 5: Solve for x
   x = 3,130,170.27/2,133.62
6. Step 6: Final answer
   x = 1,467.07