Finding the Fourth Proportional to 1,524.34, 2,103.58 and 825.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.34 : 2,103.58 = 825.71 : x
2. Step 2: Convert to fraction form
   1,524.34/2,103.58 = 825.71/x
3. Step 3: Cross multiply
   1,524.34x = 2,103.58 × 825.71
4. Step 4: Simplify right side
   1,524.34x = 1,736,944.98
5. Step 5: Solve for x
   x = 1,736,944.98/1,524.34
6. Step 6: Final answer
   x = 1,139.48