Finding the Fourth Proportional to 1,072.59, 1,610.34 and 553.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,072.59 : 1,610.34 = 553.02 : x
2. Step 2: Convert to fraction form
   1,072.59/1,610.34 = 553.02/x
3. Step 3: Cross multiply
   1,072.59x = 1,610.34 × 553.02
4. Step 4: Simplify right side
   1,072.59x = 890,550.23
5. Step 5: Solve for x
   x = 890,550.23/1,072.59
6. Step 6: Final answer
   x = 830.28