Finding the Fourth Proportional to 1,020.16, 1,407.83 and 554.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.16 : 1,407.83 = 554.41 : x
2. Step 2: Convert to fraction form
   1,020.16/1,407.83 = 554.41/x
3. Step 3: Cross multiply
   1,020.16x = 1,407.83 × 554.41
4. Step 4: Simplify right side
   1,020.16x = 780,515.03
5. Step 5: Solve for x
   x = 780,515.03/1,020.16
6. Step 6: Final answer
   x = 765.09