Finding the Fourth Proportional to 1,525.21, 2,104.78 and 826.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.21 : 2,104.78 = 826.59 : x
2. Step 2: Convert to fraction form
   1,525.21/2,104.78 = 826.59/x
3. Step 3: Cross multiply
   1,525.21x = 2,104.78 × 826.59
4. Step 4: Simplify right side
   1,525.21x = 1,739,790.10
5. Step 5: Solve for x
   x = 1,739,790.10/1,525.21
6. Step 6: Final answer
   x = 1,140.69