Finding the Fourth Proportional to 1,411.57, 2,111.20 and 825.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.57 : 2,111.20 = 825.18 : x
2. Step 2: Convert to fraction form
   1,411.57/2,111.20 = 825.18/x
3. Step 3: Cross multiply
   1,411.57x = 2,111.20 × 825.18
4. Step 4: Simplify right side
   1,411.57x = 1,742,110.04
5. Step 5: Solve for x
   x = 1,742,110.04/1,411.57
6. Step 6: Final answer
   x = 1,234.17