Finding the Fourth Proportional to 1,525.52, 2,105.22 and 826.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.52 : 2,105.22 = 826.90 : x
2. Step 2: Convert to fraction form
   1,525.52/2,105.22 = 826.90/x
3. Step 3: Cross multiply
   1,525.52x = 2,105.22 × 826.90
4. Step 4: Simplify right side
   1,525.52x = 1,740,806.42
5. Step 5: Solve for x
   x = 1,740,806.42/1,525.52
6. Step 6: Final answer
   x = 1,141.12