Finding the Fourth Proportional to 1,524.14, 2,103.32 and 825.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.14 : 2,103.32 = 825.52 : x
2. Step 2: Convert to fraction form
   1,524.14/2,103.32 = 825.52/x
3. Step 3: Cross multiply
   1,524.14x = 2,103.32 × 825.52
4. Step 4: Simplify right side
   1,524.14x = 1,736,323.34
5. Step 5: Solve for x
   x = 1,736,323.34/1,524.14
6. Step 6: Final answer
   x = 1,139.21