Finding the Fourth Proportional to 1,141.35, 1,574.37 and 826.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.35 : 1,574.37 = 826.26 : x
2. Step 2: Convert to fraction form
   1,141.35/1,574.37 = 826.26/x
3. Step 3: Cross multiply
   1,141.35x = 1,574.37 × 826.26
4. Step 4: Simplify right side
   1,141.35x = 1,300,838.96
5. Step 5: Solve for x
   x = 1,300,838.96/1,141.35
6. Step 6: Final answer
   x = 1,139.74