Finding the Fourth Proportional to 1,075.96, 1,485.53 and 826.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,075.96 : 1,485.53 = 826.82 : x
2. Step 2: Convert to fraction form
   1,075.96/1,485.53 = 826.82/x
3. Step 3: Cross multiply
   1,075.96x = 1,485.53 × 826.82
4. Step 4: Simplify right side
   1,075.96x = 1,228,260.55
5. Step 5: Solve for x
   x = 1,228,260.55/1,075.96
6. Step 6: Final answer
   x = 1,141.55