Finding the Fourth Proportional to 2,013.78, 3,020.34 and 553.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,013.78 : 3,020.34 = 553.02 : x
2. Step 2: Convert to fraction form
   2,013.78/3,020.34 = 553.02/x
3. Step 3: Cross multiply
   2,013.78x = 3,020.34 × 553.02
4. Step 4: Simplify right side
   2,013.78x = 1,670,308.43
5. Step 5: Solve for x
   x = 1,670,308.43/2,013.78
6. Step 6: Final answer
   x = 829.44