Finding the Fourth Proportional to 1,356.65, 1,871.84 and 825.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.65 : 1,871.84 = 825.89 : x
2. Step 2: Convert to fraction form
   1,356.65/1,871.84 = 825.89/x
3. Step 3: Cross multiply
   1,356.65x = 1,871.84 × 825.89
4. Step 4: Simplify right side
   1,356.65x = 1,545,920.45
5. Step 5: Solve for x
   x = 1,545,920.45/1,356.65
6. Step 6: Final answer
   x = 1,139.52