Finding the Fourth Proportional to 1,004.29, 1,513.30 and 825.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.29 : 1,513.30 = 825.69 : x
2. Step 2: Convert to fraction form
   1,004.29/1,513.30 = 825.69/x
3. Step 3: Cross multiply
   1,004.29x = 1,513.30 × 825.69
4. Step 4: Simplify right side
   1,004.29x = 1,249,510.23
5. Step 5: Solve for x
   x = 1,249,510.23/1,004.29
6. Step 6: Final answer
   x = 1,244.17