Finding the Fourth Proportional to 1,023.33, 1,412.73 and 978.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.33 : 1,412.73 = 978.78 : x
2. Step 2: Convert to fraction form
   1,023.33/1,412.73 = 978.78/x
3. Step 3: Cross multiply
   1,023.33x = 1,412.73 × 978.78
4. Step 4: Simplify right side
   1,023.33x = 1,382,751.87
5. Step 5: Solve for x
   x = 1,382,751.87/1,023.33
6. Step 6: Final answer
   x = 1,351.23