Finding the Fourth Proportional to 1,411.84, 2,114.27 and 825.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.84 : 2,114.27 = 825.30 : x
2. Step 2: Convert to fraction form
   1,411.84/2,114.27 = 825.30/x
3. Step 3: Cross multiply
   1,411.84x = 2,114.27 × 825.30
4. Step 4: Simplify right side
   1,411.84x = 1,744,906.00
5. Step 5: Solve for x
   x = 1,744,906.00/1,411.84
6. Step 6: Final answer
   x = 1,235.91