Finding the Fourth Proportional to 1,524.68, 2,104.06 and 826.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.68 : 2,104.06 = 826.05 : x
2. Step 2: Convert to fraction form
   1,524.68/2,104.06 = 826.05/x
3. Step 3: Cross multiply
   1,524.68x = 2,104.06 × 826.05
4. Step 4: Simplify right side
   1,524.68x = 1,738,058.76
5. Step 5: Solve for x
   x = 1,738,058.76/1,524.68
6. Step 6: Final answer
   x = 1,139.95