Finding the Fourth Proportional to 1,525.45, 2,105.13 and 826.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.45 : 2,105.13 = 826.82 : x
2. Step 2: Convert to fraction form
   1,525.45/2,105.13 = 826.82/x
3. Step 3: Cross multiply
   1,525.45x = 2,105.13 × 826.82
4. Step 4: Simplify right side
   1,525.45x = 1,740,563.59
5. Step 5: Solve for x
   x = 1,740,563.59/1,525.45
6. Step 6: Final answer
   x = 1,141.02