Finding the Fourth Proportional to 1,524.78, 2,104.20 and 826.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.78 : 2,104.20 = 826.15 : x
2. Step 2: Convert to fraction form
   1,524.78/2,104.20 = 826.15/x
3. Step 3: Cross multiply
   1,524.78x = 2,104.20 × 826.15
4. Step 4: Simplify right side
   1,524.78x = 1,738,380.70
5. Step 5: Solve for x
   x = 1,738,380.70/1,524.78
6. Step 6: Final answer
   x = 1,140.09