Finding the Fourth Proportional to 1,525.53, 2,105.23 and 826.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.53 : 2,105.23 = 826.90 : x
2. Step 2: Convert to fraction form
   1,525.53/2,105.23 = 826.90/x
3. Step 3: Cross multiply
   1,525.53x = 2,105.23 × 826.90
4. Step 4: Simplify right side
   1,525.53x = 1,740,814.69
5. Step 5: Solve for x
   x = 1,740,814.69/1,525.53
6. Step 6: Final answer
   x = 1,141.12