Finding the Fourth Proportional to 1,322.79, 1,825.82 and 825.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,322.79 : 1,825.82 = 825.14 : x
2. Step 2: Convert to fraction form
   1,322.79/1,825.82 = 825.14/x
3. Step 3: Cross multiply
   1,322.79x = 1,825.82 × 825.14
4. Step 4: Simplify right side
   1,322.79x = 1,506,543.86
5. Step 5: Solve for x
   x = 1,506,543.86/1,322.79
6. Step 6: Final answer
   x = 1,138.91