Finding the Fourth Proportional to 1,105.68, 1,525.32 and 825.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.68 : 1,525.32 = 825.42 : x
2. Step 2: Convert to fraction form
   1,105.68/1,525.32 = 825.42/x
3. Step 3: Cross multiply
   1,105.68x = 1,525.32 × 825.42
4. Step 4: Simplify right side
   1,105.68x = 1,259,029.63
5. Step 5: Solve for x
   x = 1,259,029.63/1,105.68
6. Step 6: Final answer
   x = 1,138.69